Q1 MHT CET 2026 · 13 APR · SHIFT 1 Easy ☆
Units & Dimensions
According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of
(a) momentum (b) energy (c) force (d) impulse Show answer and solution
Answer: (b)
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Report a mistake Q2 JEE Main 2026 · 22 JAN · SHIFT 2 Easy ☆
Units & Dimensions
If ϵ , E \epsilon, E ϵ , E t t t ϵ E t \frac{\epsilon E}{t} t ϵ E
(a) Am (b) A/m \text{A/m} A/m (c) A/m 2 \text{A/m}^2 A/m 2 (d) Am 2 \text{Am}^2 Am 2 Show answer and solution
Answer: (c)
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Report a mistake Q3 NEET 2026 · RE-NEET Easy ☆
Units & Dimensions
Consider that σ s , k B , b \sigma_s, k_B, b σ s , k B , b σ s k B − 1 b \sigma_s k_B^{-1} b σ s k B − 1 b
(a) [ L − 1 T − 1 K − 4 ] \left[\mathrm{L^{-1}T^{-1}K^{-4}}\right] [ L − 1 T − 1 K − 4 ] (b) [ L − 1 T − 1 K − 2 ] \left[\mathrm{L^{-1}T^{-1}K^{-2}}\right] [ L − 1 T − 1 K − 2 ] (c) [ L − 1 K − 2 ] \left[\mathrm{L^{-1}K^{-2}}\right] [ L − 1 K − 2 ] (d) [ L − 1 T − 1 K − 3 ] \left[\mathrm{L^{-1}T^{-1}K^{-3}}\right] [ L − 1 T − 1 K − 3 ] Show answer and solution
Answer: (b)
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Report a mistake Q4 JEE Main 2026 · 6 APR · SHIFT 2 Medium ☆
Units & Dimensions
Match List - I with List - II.
Choose the correct answer from the options given below:
(a) A-I, B-II, C-III, D-IV (b) A-IV, B-III, C-II, D-I (c) A-III, B-IV, C-II, D-I (d) A-II, B-I, C-IV, D-III Show answer and solution
Answer: (c)
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Report a mistake Q5 JEE Main 2026 · 4 APR · SHIFT 2 Medium ☆
Units & Dimensions
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
(a) A-III, B-IV, C-I, D-II (b) A-I, B-II, C-III, D-IV (c) A-IV, B-III, C-I, D-II (d) A-I, B-IV, C-III, D-II Show answer and solution
Answer: (a)
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Report a mistake Q6 JEE Main 2026 · 28 JAN · SHIFT 2 Medium ☆
Units & Dimensions
Match List - I with List - II.
Choose the correct answer from the options given below:
(a) A-I, B-II, C-IV, D-III (b) A-IV, B-III, C-I, D-II (c) A-IV, B-I, C-II, D-III (d) A-I, B-III, C-II, D-IV Show answer and solution
Answer: (b)
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Report a mistake Q7 JEE Main 2026 · 24 JAN · SHIFT 1 Medium ☆
Units & Dimensions
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
(a) A-III, B-IV, C-II, D-I (b) A-I, B-III, C-IV, D-II (c) A-IV, B-III, C-I, D-II (d) A-III, B-IV, C-I, D-II Show answer and solution
Answer: (d)
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Report a mistake Q8 JEE Main 2026 · 22 JAN · SHIFT 1 Medium ☆
Units & Dimensions
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
(a) A-III, B-II, C-IV, D-I (b) A-I, B-IV, C-II, D-III (c) A-II, B-I, C-IV, D-III (d) A-II, B-IV, C-I, D-III Show answer and solution
Answer: (d)
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Report a mistake Q9 MHT CET 2025 · 19 APR · SHIFT 2 Easy ☆
Units & Dimensions
If L L L R R R L R \frac{L}{R} R L
(a) second (b) volt (c) ampere (d) per second Show answer and solution
Answer: (a)
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Report a mistake Q10 JEE Main 2025 · 22 JAN · SHIFT 2 Easy ☆
Units & Dimensions
Which one of the following is the correct dimensional formula for the capacitance in F? M , L , T \mathrm{M, L, T} M , L , T C C C
(a) [ F ] = [ C M − 1 L − 2 T 2 ] [\mathrm{F}] = \left[\mathrm{CM^{-1}L^{-2}T^{2}}\right] [ F ] = [ C M − 1 L − 2 T 2 ] (b) [ F ] = [ C 2 M − 2 L 2 T 2 ] [\mathrm{F}] = \left[\mathrm{C^{2}M^{-2}L^{2}T^{2}}\right] [ F ] = [ C 2 M − 2 L 2 T 2 ] (c) [ F ] = [ C 2 M − 1 L − 2 T 2 ] [\mathrm{F}] = \left[\mathrm{C^{2}M^{-1}L^{-2}T^{2}}\right] [ F ] = [ C 2 M − 1 L − 2 T 2 ] (d) [ F ] = [ C M − 2 L − 2 T − 2 ] [\mathrm{F}] = \left[\mathrm{CM^{-2}L^{-2}T^{-2}}\right] [ F ] = [ C M − 2 L − 2 T − 2 ] Show answer and solution
Answer: (c)
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Report a mistake Q11 JEE Main 2025 · 7 APR · SHIFT 2 Easy ☆
Units & Dimensions
The dimension of μ 0 ϵ 0 \sqrt{\frac{\mu_0}{\epsilon_0}} ϵ 0 μ 0
(μ 0 \mu_0 μ 0 ϵ 0 \epsilon_0 ϵ 0
(a) Voltage (b) Inductance (c) Resistance (d) Capacitance Show answer and solution
Answer: (c)
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Report a mistake Q12 JEE Main 2025 · 4 APR · SHIFT 2 Easy ☆
Units & Dimensions
In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [ M P L Q T R A S ] [\mathrm{M^{P}L^{Q}T^{R}A^{S}}] [ M P L Q T R A S ]
(a) − 1 , 0 -1, 0 − 1 , 0 (b) 0 , − 1 0,\ -1 0 , − 1 (c) − 1 , 1 -1, 1 − 1 , 1 (d) 1 , − 1 1,\ -1 1 , − 1 Show answer and solution
Answer: (b)
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Report a mistake Q13 JEE Main 2025 · 2 APR · SHIFT 2 Easy ☆
Units & Dimensions
If μ 0 \mu_0 μ 0 ϵ 0 \epsilon_0 ϵ 0 ( 1 μ 0 ϵ 0 ) \left(\frac{1}{\mu_0\epsilon_0}\right) ( μ 0 ϵ 0 1 )
(a) T 2 / L \mathrm{T^{2}/L} T 2 /L (b) L 2 / T 2 \mathrm{L^{2}/T^{2}} L 2 / T 2 (c) T 2 / L 2 \mathrm{T^{2}/L^{2}} T 2 / L 2 (d) L / T 2 \mathrm{L/T^{2}} L/ T 2 Show answer and solution
Answer: (b)
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Report a mistake Q14 JEE Main 2025 · 22 JAN · SHIFT 1 Easy ☆
Units & Dimensions
If B B B μ 0 \mu_0 μ 0 ( B / μ 0 ) (B/\mu_0) ( B / μ 0 )
(a) M T − 2 A − 1 \mathrm{MT^{-2}A^{-1}} M T − 2 A − 1 (b) L − 1 A \mathrm{L^{-1}A} L − 1 A (c) M L 2 T − 2 A − 1 \mathrm{ML^{2}T^{-2}A^{-1}} M L 2 T − 2 A − 1 (d) L T − 2 A − 1 \mathrm{LT^{-2}A^{-1}} L T − 2 A − 1 Show answer and solution
Answer: (b)
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Report a mistake Q15 JEE Main 2025 · 2 APR · SHIFT 2 Easy ☆
Units & Dimensions
Given a charge q, current I and permeability of vacuum μ o \mu_o μ o
(a) q I / μ o qI/\mu_o q I / μ o (b) q 2 μ o I q^2\mu_o I q 2 μ o I (c) q μ 0 / I q\mu_0/I q μ 0 / I (d) q μ o I q\mu_o I q μ o I Show answer and solution
Answer: (d)
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Report a mistake Q16 JEE Main 2025 · 29 JAN · SHIFT 1 Easy ☆
Units & Dimensions
The pair of physical quantities not having the same dimensions is:
(a) Angular momentum and Planck's constant (b) Torque and energy (c) Surface tension and impulse (d) Pressure and Young's modulus Show answer and solution
Answer: (c)
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Report a mistake Q17 JEE Main 2025 · 7 APR · SHIFT 2 Easy ☆
Units & Dimensions
Match List - I with List - II.
Choose the correct answer from the options given below:
(a) (A)-(IV), (B)-(II), (C)-(III), (D)-(I) (b) (A)-(II), (B)-(III), (C)-(IV), (D)-(I) (c) (A)-(IV), (B)-(III), (C)-(I), (D)-(II) (d) (A)-(IV), (B)-(II), (C)-(I), (D)-(III) Show answer and solution
Answer: (d)
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Report a mistake Q18 JEE Main 2025 · 2 APR · SHIFT 1 Easy ☆
Units & Dimensions
Match List I with List II.
Choose the correct answer from the options given below:
(a) (A)-(II), (B)-(III), (C)-(IV), (D)-(I) (b) (A)-(IV), (B)-(II), (C)-(I), (D)-(III) (c) (A)-(IV), (B)-(I), (C)-(II), (D)-(III) (d) (A)-(I), (B)-(IV), (C)-(III), (D)-(II) Show answer and solution
Answer: (c)
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Report a mistake Q19 JEE Main 2025 · 29 JAN · SHIFT 2 Easy ☆
Units & Dimensions
Match List - I with List - II.
Choose the correct answer from the options given below:
(a) (A)-(I), (B)-(III), (C)-(II), (D)-(IV) (b) (A)-(IV), (B)-(II), (C)-(III), (D)-(I) (c) (A)-(II), (B)-(I), (C)-(IV), (D)-(III) (d) (A)-(II), (B)-(IV), (C)-(I), (D)-(III) Show answer and solution
Answer: (d)
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Report a mistake Q20 JEE Main 2025 · 28 JAN · SHIFT 2 Easy ☆
Units & Dimensions
Match List - I with List - II.
Choose the correct answer from the options given below:
(a) (A)-(II), (B)-(I), (C)-(IV), (D)-(III) (b) (A)-(I), (B)-(III), (C)-(IV), (D)-(II) (c) (A)-(III), (B)-(I), (C)-(IV), (D)-(II) (d) (A)-(III), (B)-(I), (C)-(II), (D)-(IV) Show answer and solution
Answer: (c)
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Report a mistake Q21 JEE Main 2025 · 23 JAN · SHIFT 2 Easy ☆
Units & Dimensions
Match List - I with List - II
Choose the correct answer from the options given below:
List - I List - II (A) Permeability of free space (I) [ M L 2 T − 2 ] \left[\mathrm{ML^{2}\ T^{-2}}\right] [ M L 2 T − 2 ] (B) Magnetic field (II) [ M T − 2 A − 1 ] \left[\mathrm{MT^{-2}\ A^{-1}}\right] [ M T − 2 A − 1 ] (C) Magnetic moment (III) [ M L T − 2 A − 2 ] \left[\mathrm{MLT^{-2}\ A^{-2}}\right] [ ML T − 2 A − 2 ] (D) Torsional constant (IV) [ L 2 A ] [\mathrm{L^{2}\ A}] [ L 2 A ]
(a) (A)-(III), (B)-(II), (C)-(IV), (D)-(I) (b) (A) − (I) , (B) − (IV) , (C) − (II) , (D) − (III) \text{(A)} - \text{(I)}, \text{(B)} - \text{(IV)}, \text{(C)} - \text{(II)}, \text{(D)} - \text{(III)} (A) − (I) , (B) − (IV) , (C) − (II) , (D) − (III) (c) (A) − (II) , (B) − (I) , (C) − (III) , (D) − (IV) \text{(A)} - \text{(II)}, \text{(B)} - \text{(I)}, \text{(C)} - \text{(III)}, \text{(D)} - \text{(IV)} (A) − (II) , (B) − (I) , (C) − (III) , (D) − (IV) (d) (A)-(IV), (B)-(III), (C)-(I), (D)-(II) Show answer and solution
Answer: (a)
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Report a mistake Q22 JEE Main 2025 · 28 JAN · SHIFT 1 Medium ☆
Units & Dimensions
In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of [ M a L b T c ] \left[M^{a}L^{b}T^{c}\right] [ M a L b T c ] b = 3 b = 3 b = 3 c c c
Numerical answer type. Work it out, then open the answer.
Show answer and solution
Answer: 0
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Report a mistake Q23 JEE Main 2025 · 3 APR · SHIFT 2 Medium ☆
Units & Dimensions
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
(a) A - III, B - IV, C - I, D - II (b) A - III, B - IV, C - II, D - I (c) A - III, B - II, C - I, D - IV (d) A - II, B - III, C - IV, D - I Show answer and solution
Answer: (a)
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Report a mistake Q24 JEE Main 2025 · 3 APR · SHIFT 1 Medium ☆
Units & Dimensions
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
List - I List - II A. Gravitational constant I. [ L T − 2 ] [\mathrm{LT^{-2}}] [ L T − 2 ] B. Gravitational potential energy II. [ L 2 T − 2 ] \left[\mathrm{L^{2}\ T^{-2}}\right] [ L 2 T − 2 ] C. Gravitational potential III. [ M L 2 T − 2 ] \left[\mathrm{ML^{2}\ T^{-2}}\right] [ M L 2 T − 2 ] D. Acceleration due to gravity IV. [ M − 1 L 3 T − 2 ] \left[\mathrm{M^{-1}\ L^{3}\ T^{-2}}\right] [ M − 1 L 3 T − 2 ]
(a) A-IV, B-III, C-II, D-I (b) A-II, B-IV, C-III, D-I (c) A-I, B-III, C-IV, D-II (d) A-III, B-II, C-I, D-IV Show answer and solution
Answer: (a)
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Report a mistake Q25 JEE Main 2024 · 9 APR · SHIFT 1 Easy ☆
Units & Dimensions
The dimensional formula of latent heat is:
(a) [ M 0 L T − 2 ] [\mathrm{M^{0}LT^{-2}}] [ M 0 L T − 2 ] (b) [ M L T − 2 ] [\mathrm{MLT^{-2}}] [ ML T − 2 ] (c) [ M 0 L 2 T − 2 ] \left[\mathrm{M^{0}L^{2}T^{-2}}\right] [ M 0 L 2 T − 2 ] (d) [ M L 2 T − 2 ] \left[\mathrm{ML^{2}T^{-2}}\right] [ M L 2 T − 2 ] Show answer and solution
Answer: (c)
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Report a mistake Q26 JEE Main 2024 · 8 APR · SHIFT 2 Easy ☆
Units & Dimensions
If ϵ o \epsilon_o ϵ o E \mathrm{E} E ϵ o E 2 \epsilon_o\mathrm{E}^2 ϵ o E 2
(a) [ M L − 1 T − 2 ] [\mathrm{ML^{-1}T^{-2}}] [ M L − 1 T − 2 ] (b) [ M L 2 T − 2 ] [\mathrm{ML^{2}T^{-2}}] [ M L 2 T − 2 ] (c) [ M 0 L − 2 T A ] [\mathrm{M^{0}L^{-2}TA}] [ M 0 L − 2 TA ] (d) [ M − 1 L − 3 T 4 A 2 ] [\mathrm{M^{-1}L^{-3}T^{4}A^{2}}] [ M − 1 L − 3 T 4 A 2 ] Show answer and solution
Answer: (a)
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Report a mistake Q27 JEE Main 2024 · 5 APR · SHIFT 1 Easy ☆
Units & Dimensions
If G \mathrm{G} G u \mathrm{u} u u G \sqrt{\mathrm{uG}} uG
(a) Gravitational potential (b) pressure gradient per unit mass (c) Energy per unit mass (d) Force per unit mass Show answer and solution
Answer: (d)
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Report a mistake Q28 JEE Main 2024 · 1 FEB · SHIFT 1 Easy ☆
Units & Dimensions
The dimensional formula of angular impulse is:
(a) [ M L 2 T − 2 ] \left[\mathrm{ML^{2}T^{-2}}\right] [ M L 2 T − 2 ] (b) [ M L − 2 T − 1 ] \left[\mathrm{ML^{-2}T^{-1}}\right] [ M L − 2 T − 1 ] (c) [ M L 2 T − 1 ] \left[\mathrm{ML^{2}T^{-1}}\right] [ M L 2 T − 1 ] (d) [ M L T − 1 ] [\mathrm{MLT^{-1}}] [ ML T − 1 ] Show answer and solution
Answer: (c)
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Report a mistake Q29 NEET 2024 Easy ☆
Units & Dimensions
The quantities which have the same dimensions as those of solid angle are:
(a) strain and angle (b) stress and angle (c) strain and arc (d) angular speed and stress Show answer and solution
Answer: (a)
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Report a mistake Q30 JEE Main 2024 · 30 JAN · SHIFT 1 Easy ☆
Units & Dimensions
Match List I with List II.
Choose the correct answer from the options given below:
(a) (A)-(II), (B)-(I), (C)-(IV), (D)-(III) (b) (A)-(I), (B)-(II), (C)-(III), (D)-(IV) (c) (A)-(IV), (B)-(III), (C)-(II), (D)-(I) (d) (A)-(III), (B)-(IV), (C)-(II), (D)-(I) Show answer and solution
Answer: (d)
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Report a mistake Q31 JEE Main 2024 · 6 APR · SHIFT 2 Medium ☆
Units & Dimensions
Given below are two statements:
Statement (I): Dimensions of specific heat is [ L 2 T − 2 K − 1 ] [\mathrm{L^{2}T^{-2}K^{-1}}] [ L 2 T − 2 K − 1 ]
Statement (II): Dimensions of gas constant is [ M L 2 T − 1 K − 1 ] [\mathrm{ML^{2}T^{-1}K^{-1}}] [ M L 2 T − 1 K − 1 ]
In the light of the above statements, choose the most appropriate answer from the options given below.
(a) Statement (I) is incorrect but statement (II) is correct (b) Both statement (I) and statement (II) are incorrect (c) Both statement (I) and statement (II) are correct (d) Statement (I) is correct but statement (II) is incorrect Show answer and solution
Answer: (d)
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Report a mistake Q32 JEE Main 2024 · 27 JAN · SHIFT 2 Medium ☆
Units & Dimensions
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R): The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.
In the light of the above statements, choose the correct answer from the options given below:
(a) Both (A) and (R) are correct and (R) is the correct explanation of (A) (b) Both (A) and (R) are correct but (R) is not the correct explanation of (A) (c) (A) is true but (R) is false (d) (A) is false but (R) is true Show answer and solution
Answer: (b)
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Report a mistake Q33 JEE Main 2024 · 27 JAN · SHIFT 1 Medium ☆
Units & Dimensions
Given below are two statements:
Statement (I): Planck's constant and angular momentum have same dimensions. Statement (II): Linear momentum and moment of force have same dimensions. In the light of the above statements, choose the correct answer from the options given below:
(a) Statement I is true but Statement II is false (b) Both Statement I and Statement II are false (c) Both Statement I and Statement II are true (d) Statement I is false but Statement II is true Show answer and solution
Answer: (a)
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Report a mistake Q34 JEE Main 2024 · 6 APR · SHIFT 1 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A-I, B-III, C-II, D-IV (b) A-IV, B-II, C-III, D-I (c) A-III, B-I, C-II, D-IV (d) A-IV, B-III, C-II, D-I Show answer and solution
Answer: (d)
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Report a mistake Q35 NEET 2023 Easy ☆
Units & Dimensions
The mechanical quantity, which has dimensions of reciprocal of mass ( M − 1 ) (\mathrm{M}^{-1}) ( M − 1 )
(a) angular momentum (b) coefficient of thermal conductivity (c) torque (d) gravitational constant Show answer and solution
Answer: (d)
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Report a mistake Q36 JEE Main 2023 · 8 APR · SHIFT 1 Easy ☆
Units & Dimensions
Dimension of 1 μ 0 ϵ 0 \frac{1}{\mu_0\epsilon_0} μ 0 ϵ 0 1
(a) T 2 / L 2 \mathrm{T^{2}/L^{2}} T 2 / L 2 (b) T / L \mathrm{T/L} T/L (c) L 2 / T 2 \mathrm{L^{2}/T^{2}} L 2 / T 2 (d) L / T \mathrm{L/T} L/T Show answer and solution
Answer: (c)
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Report a mistake Q37 JEE Main 2023 · 11 APR · SHIFT 1 Medium ☆
Units & Dimensions
Given below are two statements:
Statements I: Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
Statements II: Au < Parsec(Pc) < ly \text{Au} < \text{Parsec(Pc)} < \text{ly} Au < Parsec(Pc) < ly
In the light of the above statements, choose the most appropriate answer from the options given below:
(a) Both Statements I and Statements II are incorrect. (b) Both Statements I and Statements II are correct, (c) Statements I is incorrect but Statements II is correct. (d) Statements I is correct but Statements II is incorrect. Show answer and solution
Answer: (d)
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Report a mistake Q38 JEE Main 2023 · 12 APR · SHIFT 1 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A-IV, B-I, C-III, D-II (b) A-II, B-III, C-I, D-IV (c) A-II, B-I, C-IV, D-III (d) A-I, B-III, C-II, D-IV Show answer and solution
Answer: (c)
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Report a mistake Q39 JEE Main 2023 · 8 APR · SHIFT 2 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A-II, B-I, C-IV, D-III (b) A-II, B-IV, C-I, D-III (c) A-IV, B-II, C-III, D-I (d) A-III, B-IV, C-I, D-II Show answer and solution
Answer: (b)
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Report a mistake Q40 JEE Main 2023 · 31 JAN · SHIFT 2 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A - I, B - IV, C - III, D - II (b) A - III, B - I, C - IV, D - II (c) A - IV, B - II, C - I, D - III (d) A - II, B - III, C - IV, D - I Show answer and solution
Answer: (b)
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Report a mistake Q41 JEE Main 2023 · 30 JAN · SHIFT 2 Medium ☆
Units & Dimensions
Match List I with List II:
Choose the correct answer from the options given below:
(a) A-IV, B-I, C-III, D-II (b) A-IV, B-I, C-II, D-III (c) A-I, B-IV, C-III, D-II (d) A-IV, B-III, C-I, D-II Show answer and solution
Answer: (a)
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Report a mistake Q42 JEE Main 2023 · 25 JAN · SHIFT 2 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A-II, B-III, C-IV, D-I (b) A-I, B-II, C-III, D-IV (c) A-I, B-III, C-IV, D-II (d) A-III, B-I, C-II, D-IV Show answer and solution
Answer: (d)
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Report a mistake Q43 JEE Main 2023 · 25 JAN · SHIFT 1 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A-IV, B-III, C-I, D-II (b) A-IV, B-III, C-II, D-I (c) A-II, B-I, C-III, D-IV (d) A-III, B-IV, C-I, D-II Show answer and solution
Answer: (a)
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Report a mistake Q44 JEE Main 2023 · 24 JAN · SHIFT 1 Medium ☆
Units & Dimensions
Match List I with List II
Choose the correct answer from the options given below:
(a) A-I, B-III, C-IV, D-II (b) A-III, B-IV, C-I, D-II (c) A-II, B-IV, C-III, D-I (d) A-III, B-I, C-II, D-IV Show answer and solution
Answer: (b)
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Report a mistake Q45 JEE Main 2022 · 27 JUN · SHIFT 2 Easy ☆
Units & Dimensions
The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be:
(a) [ML − 1 T − {}^{-1}\mathrm{T}^{-} − 1 T − (b) [ML− 1 T − {}^{-1}\mathrm{T}^{-} − 1 T − (c) [ML2T− 1 {}^{-1} − 1 (d) [M− 1 {}^{-1} − 1 Show answer and solution
Answer: (a)
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Report a mistake Q46 NEET 2022 · PHASE 1 Easy ☆
Units & Dimensions
The dimensions [MLT− 2 A − {}^{-2}\mathrm{A}^{-} − 2 A −
(a) Magnetic flux (b) Self inductance (c) Magnetic permeability (d) Electric permittivity Show answer and solution
Answer: (c)
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Report a mistake Q47 NEET 2022 · PHASE 1 Easy ☆
Units & Dimensions
Plane angle and solid angle have
(a) Units but no dimensions (b) Dimensions but no units (c) No units and no dimensions (d) Both units and dimensions Show answer and solution
Answer: (a)
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Report a mistake Q48 JEE Main 2022 · 28 JUL · SHIFT 1 Easy ☆
Units & Dimensions
The dimensions of ( B 2 μ 0 ) \left(\frac{\mathrm{B}^2}{\mu_0}\right) ( μ 0 B 2 )
(if μ 0 \mu_0 μ 0 B B B
(a) [ M L 2 T − 2 ] [\mathrm{ML^{2}T^{-2}}] [ M L 2 T − 2 ] (b) [ M L T − 2 ] [\mathrm{MLT^{-2}}] [ ML T − 2 ] (c) [ M L − 1 T − 2 ] \left[\mathrm{ML^{-1}T^{-2}}\right] [ M L − 1 T − 2 ] (d) [ M L 2 T − 2 A − 1 ] \left[\mathrm{ML^{2}T^{-2}A^{-1}}\right] [ M L 2 T − 2 A − 1 ] Show answer and solution
Answer: (c)
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Report a mistake Q49 JEE Main 2022 · 26 JUN · SHIFT 2 Easy ☆
Units & Dimensions
The dimension of mutual inductance is:
(a) [ M L 2 T − 2 A − 1 ] [ML^{2}T^{-2}A^{-1}] [ M L 2 T − 2 A − 1 ] (b) [ M L 2 T − 3 A − 1 ] [ML^{2}T^{-3}A^{-1}] [ M L 2 T − 3 A − 1 ] (c) [ M L 2 T − 2 A − 2 ] [ML^{2}T^{-2}A^{-2}] [ M L 2 T − 2 A − 2 ] (d) [ M L 2 T − 3 A − 2 ] [ML^{2}T^{-3}A^{-2}] [ M L 2 T − 3 A − 2 ] Show answer and solution
Answer: (c)
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Report a mistake Q50 NEET 2022 · PHASE 2 Easy ☆
Units & Dimensions
The physical quantity that has the same dimensional formula as pressure is
(a) Coefficient of viscosity (b) Force (c) Momentum (d) Young's modulus of elasticity Show answer and solution
Answer: (d)
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Report a mistake Q51 JEE Main 2022 · 25 JUL · SHIFT 1 Easy ☆
Units & Dimensions
Which of the following physical quantities have the same dimensions?
(a) Electric displacement ( D ⃗ ) (\vec{D}) ( D ) (b) Displacement current and electric field (c) Current density and surface charge density (d) Electric potential and energy Show answer and solution
Answer: (a)
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Report a mistake Q52 JEE Main 2022 · 24 JUN · SHIFT 2 Easy ☆
Units & Dimensions
Identify the pair of physical quantities that have same dimensions:
(a) velocity gradient and decay constant (b) Wien's constant and Stefan constant (c) angular frequency and angular momentum (d) wave number and Avogadro number Show answer and solution
Answer: (a)
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Report a mistake Q53 JEE Main 2022 · 24 JUN · SHIFT 1 Easy ☆
Units & Dimensions
Identify the pair of physical quantities which have different dimensions:
(a) Wave number and Rydberg's constant (b) Stress and Coefficient of elasticity (c) Coercivity and Magnetisation (d) Specific heat capacity and Latent heat Show answer and solution
Answer: (d)
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Report a mistake Q54 JEE Main 2022 · 29 JUL · SHIFT 2 Medium ☆
Units & Dimensions
Match List I with List II.
Choose the correct answer from the options given below:
(a) A-III, B-II, C-I, D-IV (b) A-III, B-IV, C-II, D-I (c) A-IV, B-I, C-III, D-II (d) A-II, B-III, C-I, D-IV Show answer and solution
Answer: (b)
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Report a mistake Q55 JEE Main 2022 · 29 JUL · SHIFT 1 Medium ☆
Units & Dimensions
Given below are two statements: One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A): Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is ρ \rho ρ T = K ρ r 3 / S 3 / 2 \mathrm{T} = \mathrm{K}\sqrt{\rho \mathrm{r}^3/\mathrm{S}^{3/2}} T = K ρ r 3 / S 3/2
Reason (R): Using dimensional analysis we get R.H.S. having different dimension than that of time period.
In the light of above statements, choose the correct answer from the options given below.
(a) Both (A) and (R) are true and (R) is the correct explanation of (A) (b) Both (A) and (R) are true but (R) is not the correct explanation of (A) (c) (A) is true but (R) is false (d) (A) is false but (R) is true Show answer and solution
Answer: (d)
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Report a mistake Q56 JEE Main 2021 · 27 AUG · SHIFT 1 Easy ☆
Units & Dimensions
If E and H represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be:
(a) ohm (b) mho (c) joule (d) newton Show answer and solution
Answer: (a)
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Report a mistake Q57 NEET 2021 Easy ☆
Units & Dimensions
If E and G respectively denote energy and gravitational constant, then E G \frac{E}{G} G E
(a) [M2] [L− 2 {}^{-2} − 2 − 1 {}^{-1} − 1 (b) [M2] [L− 1 {}^{-1} − 1 (c) [M] [L− 1 {}^{-1} − 1 − 1 {}^{-1} − 1 (d) [M] [L0] [T0] Show answer and solution
Answer: (b)
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Report a mistake Q58 JEE Main 2021 · 26 FEB · SHIFT 2 Easy ☆
Units & Dimensions
If 'C' and 'V' represent capacitance and voltage respectively then what are the dimensions of λ \lambda λ λ \lambda λ
(a) [ M − 3 L − 4 I 3 T 7 ] [M^{-3}L^{-4}I^{3}T^{7}] [ M − 3 L − 4 I 3 T 7 ] (b) [ M − 2 L − 3 I 2 T 6 ] [M^{-2}L^{-3}I^{2}T^{6}] [ M − 2 L − 3 I 2 T 6 ] (c) [ M − 2 L − 4 I 3 T 7 ] [M^{-2}L^{-4}I^{3}T^{7}] [ M − 2 L − 4 I 3 T 7 ] (d) [ M − 1 L − 3 I − 2 T − 7 ] [M^{-1}L^{-3}I^{-2}T^{-7}] [ M − 1 L − 3 I − 2 T − 7 ] Show answer and solution
Answer: (c)
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Report a mistake Q59 JEE Main 2021 · 25 FEB · SHIFT 2 Easy ☆
Units & Dimensions
If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity 1 4 π ε 0 ∣ e ∣ 2 h c \frac{1}{4\pi\varepsilon_0}\frac{|e|^2}{hc} 4 π ε 0 1 h c ∣ e ∣ 2
(a) [ M L T − 1 ] [MLT^{-1}] [ M L T − 1 ] (b) [ M L T 0 ] [MLT^{0}] [ M L T 0 ] (c) [ M 0 L 0 T 0 ] [M^{0}L^{0}T^{0}] [ M 0 L 0 T 0 ] (d) [ L C − 1 ] [LC^{-1}] [ L C − 1 ] Show answer and solution
Answer: (c)
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Report a mistake Q60 JEE Main 2021 · 27 AUG · SHIFT 1 Easy ☆
Units & Dimensions
Which of the following is not a dimensionless quantity?
(a) Relative magnetic permeability (μ \mu μ (b) Power factor (c) Permeability of free space (μ \mu μ (d) Quality factor Show answer and solution
Answer: (c)
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Report a mistake Q61 JEE Main 2021 · 26 AUG · SHIFT 2 Easy ☆
Units & Dimensions
Match List - I with List - II
Choose the most appropriate answer from the options given below:
(a) (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii) (b) (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii) (c) (a)-(iii), (b)-(ii), (c)-(iv), (d)-(i) (d) (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii) Show answer and solution
Answer: (d)
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Report a mistake Q62 JEE Main 2021 · 31 AUG · SHIFT 1 Medium ☆
Units & Dimensions
Match List - I with List - II.
Choose the most appropriate answer from the options given below:
(a) (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii) (b) (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii) (c) (a)-(i), (b)-(iii), (c)-(iv), (d)-(ii) (d) (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii) Show answer and solution
Answer: (a)
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Report a mistake Q63 JEE Main 2021 · 27 AUG · SHIFT 2 Medium ☆
Units & Dimensions
Match List - I with List - II.
Choose the most appropriate answer from the options given below:
List - I List - II (a) R H R_H R H (i) kg m − 1 s − 1 \text{kg m}^{-1}\text{ s}^{-1} kg m − 1 s − 1 (b) h (Planck's constant) (ii) kg m 2 s − 1 \text{kg m}^{2}\text{ s}^{-1} kg m 2 s − 1 (c) μ B \mu_B μ B (iii) m − 1 \text{m}^{-1} m − 1 (d) η \eta η (iv) kg m − 1 s − 2 \text{kg m}^{-1}\text{ s}^{-2} kg m − 1 s − 2
(a) (a)-(ii), (b)-(iii), (c)-(iv), (d)-(i) (b) (a)-(iii), (b)-(ii), (c)-(iv), (d)-(i) (c) (a)-(iv), (b)-(ii), (c)-(i), (d)-(iii) (d) (a)-(iii), (b)-(ii), (c)-(i), (d)-(iv) Show answer and solution
Answer: (b)
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Report a mistake Q64 JEE Main 2021 · 27 JUL · SHIFT 2 Medium ☆
Units & Dimensions
Match List I with List II.
Choose the correct answer from the options given below
List - I List - II (a) Capacitance, C (i) M 1 L 1 T − 3 A − 1 M^{1}L^{1}T^{-3}A^{-1} M 1 L 1 T − 3 A − 1 (b) Permittivity of free space, ε 0 \varepsilon_0 ε 0 (ii) M − 1 L − 3 T 4 A 2 M^{-1}L^{-3}T^{4}A^{2} M − 1 L − 3 T 4 A 2 (c) Permeability of free space, μ 0 \mu_0 μ 0 (iii) M − 1 L − 2 T 4 A 2 M^{-1}L^{-2}T^{4}A^{2} M − 1 L − 2 T 4 A 2 (d) Electric field, E (iv) M 1 L 1 T − 2 A − 2 M^{1}L^{1}T^{-2}A^{-2} M 1 L 1 T − 2 A − 2
(a) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → (b) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → (c) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → (d) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → Show answer and solution
Answer: (a)
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Report a mistake Q65 JEE Main 2021 · 25 FEB · SHIFT 1 Medium ☆
Units & Dimensions
Match List - I with List - II:
Choose the correct answer from the options given below:
(a) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → (b) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → (c) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → (d) (a) → \rightarrow → → \rightarrow → → \rightarrow → → \rightarrow → Show answer and solution
Answer: (a)
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Report a mistake Q66 NEET 2020 · PHASE 2 Easy ☆
Units & Dimensions
The angle of 1′ (minute of arc) in radian is nearly equal to
(a) 1.75 × 1 0 − 2 rad 1.75 \times 10^{-2}\text{ rad} 1.75 × 1 0 − 2 rad (b) 2.91 × 1 0 − 4 rad 2.91 \times 10^{-4}\text{ rad} 2.91 × 1 0 − 4 rad (c) 4.85 × 1 0 − 4 rad 4.85 \times 10^{-4}\text{ rad} 4.85 × 1 0 − 4 rad (d) 4.80 × 1 0 − 6 rad 4.80 \times 10^{-6}\text{ rad} 4.80 × 1 0 − 6 rad Show answer and solution
Answer: (b)
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Report a mistake Q67 NEET 2020 · PHASE 1 Easy ☆
Units & Dimensions
The energy required to break one bond in DNA is 10-20 J. This value in eV is nearly:
(a) 0.6 (b) 0.06 (c) 0.006 (d) 6 Show answer and solution
Answer: (b)
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Report a mistake Q68 MHT CET 2020 · 19 OCT · SHIFT 2 Easy ☆
Units & Dimensions
Let σ \sigma σ b b b σ b \sigma b σb
(a) [ L 1 M − 1 T − 3 K − 3 ] [L^{1}M^{-1}T^{-3}K^{-3}] [ L 1 M − 1 T − 3 K − 3 ] (b) [ L 1 M 1 T 3 K − 3 ] [L^{1}M^{1}T^{3}K^{-3}] [ L 1 M 1 T 3 K − 3 ] (c) [ L − 1 M 1 T − 3 K − 3 ] \left[L^{-1}M^{1}\mathrm{T}^{-3}\mathrm{K}^{-3}\right] [ L − 1 M 1 T − 3 K − 3 ] (d) [ L 1 M 1 T − 3 K − 3 ] [L^{1}M^{1}T^{-3}K^{-3}] [ L 1 M 1 T − 3 K − 3 ] Show answer and solution
Answer: (d)
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Report a mistake Q69 MHT CET 2020 · 19 OCT · SHIFT 2 Easy ☆
Units & Dimensions
Let x = π R ( P 2 − Q 2 2 ) x = \pi R\left(\frac{P^2 - Q^2}{2}\right) x = π R ( 2 P 2 − Q 2 ) P , Q P, Q P , Q R R R x x x
(a) area (b) length (c) volume (d) velocity Show answer and solution
Answer: (c)
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Report a mistake Q70 NEET 2020 · PHASE 1 Easy ☆
Units & Dimensions
Dimensions of stress are:
(a) [ M L 2 T − 2 ] [ML^{2}T^{-2}] [ M L 2 T − 2 ] (b) [ M L 0 T − 2 ] [ML^{0}T^{-2}] [ M L 0 T − 2 ] (c) [ M L − 1 T − 2 ] [ML^{-1}T^{-2}] [ M L − 1 T − 2 ] (d) [ M L T − 2 ] [MLT^{-2}] [ M L T − 2 ] Show answer and solution
Answer: (c)
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Report a mistake Q71 JEE Main 2020 · 4 SEP · SHIFT 1 Easy ☆
Units & Dimensions
Dimensional formula for thermal conductivity is (here K denotes the temperature):
(a) MLT–3K–1 (b) MLT–2K–2 (c) MLT–2K (d) MLT–3K Show answer and solution
Answer: (a)
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Report a mistake Q72 JEE Main 2020 · 3 SEP · SHIFT 2 Easy ☆
Units & Dimensions
Amount of solar energy received on the earth’s surface per unit area per unit time is defined as solar constant. Dimension of solar constant is:
(a) MLT–2 (b) ML0T–3 (c) M2L0T–1 (d) ML2T–2 Show answer and solution
Answer: (b)
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Report a mistake Q73 JEE Main 2020 · 7 JAN · SHIFT 2 Easy ☆
Units & Dimensions
The dimension of B 2 2 μ 0 \frac{B^2}{2\mu_0} 2 μ 0 B 2 μ 0 \mu_0 μ 0
(a) ML2T–2 (b) MLT–2 (c) ML-1T–2 (d) ML2T–1 Show answer and solution
Answer: (c)
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Report a mistake Q74 JEE Main 2020 · 5 SEP · SHIFT 2 Medium ☆
Units & Dimensions
The quantities x = 1 μ 0 ε 0 \frac{1}{\sqrt{\mu_0\varepsilon_0}} μ 0 ε 0 1 E B \frac{E}{B} B E l C R \frac{l}{CR} CR l
defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and ε 0 , μ 0 \varepsilon_0, \mu_0 ε 0 , μ 0
(a) Only y and z have the same dimension (b) x, y and z have the same dimension (c) Only x and y have the same dimension (d) Only x and z have the same dimension Show answer and solution
Answer: (b)
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Report a mistake Q75 JEE Main 2019 · 8 APR · SHIFT 1 Easy ☆
Units & Dimensions
In SI units, the dimensions of ϵ 0 μ 0 \sqrt{\frac{\epsilon_0}{\mu_0}} μ 0 ϵ 0
(a) A–1 TML3 (b) A2T3M–1L–2 (c) AT–3ML3/2 (d) AT2M–1L–1 Show answer and solution
Answer: (b)
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Report a mistake Q76 JEE Main 2019 · 12 JAN · SHIFT 2 Easy ☆
Units & Dimensions
Let ℓ \ell ℓ ℓ r C V \frac{\ell}{rCV} r C V ℓ
(a) [A–1] (b) [LTA] (c) [LA–2] (d) [LT2] Show answer and solution
Answer: (a)
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Report a mistake Q77 MHT CET 2019 · 3 MAY · SHIFT 1 Easy ☆
Units & Dimensions
[ L 2 M 1 T − 2 ] \left[\mathrm{L^{2}M^{1}T^{-2}}\right] [ L 2 M 1 T − 2 ]
(a) torque (b) force (c) angular acceleration (d) angular momentum Show answer and solution
Answer: (a)
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Report a mistake Q78 MHT CET 2019 · 2 MAY · SHIFT 2 Easy ☆
Units & Dimensions
The dimensions of self or mutual inductance are given as
(a) [ L − 2 M 1 T − 2 I − 2 ] [L^{-2}M^{1}T^{-2}I^{-2}] [ L − 2 M 1 T − 2 I − 2 ] (b) [ L 2 M 2 T − 2 I − 2 ] [L^{2}M^{2}T^{-2}I^{-2}] [ L 2 M 2 T − 2 I − 2 ] (c) [ L 2 M 1 T − 2 I − 2 ] [L^{2}M^{1}T^{-2}I^{-2}] [ L 2 M 1 T − 2 I − 2 ] (d) [ L 2 M 2 T − 2 I − 2 ] [L^{2}M^{2}T^{-2}I^{-2}] [ L 2 M 2 T − 2 I − 2 ] Show answer and solution
Answer: (c)
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Report a mistake Q79 MHT CET 2019 · 2 MAY · SHIFT 2 Easy ☆
Units & Dimensions
The ratio of the dimensions of Planck's constant to that of moment of inertia is the dimensions of
(a) angular momentum (b) velocity (c) frequency (d) time Show answer and solution
Answer: (c)
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Report a mistake Q80 MHT CET 2019 · 2 MAY · SHIFT 1 Easy ☆
Units & Dimensions
Dimensions of Gyromagnetic ratio are
(a) [ L 1 M 0 T 1 I 1 ] [L^{1}M^{0}T^{1}I^{1}] [ L 1 M 0 T 1 I 1 ] (b) [ L 0 M − 1 T 1 I 1 ] [L^{0}M^{-1}T^{1}I^{1}] [ L 0 M − 1 T 1 I 1 ] (c) [ L 1 M 0 T 0 I − 1 ] [L^{1}M^{0}T^{0}I^{-1}] [ L 1 M 0 T 0 I − 1 ] (d) [ L − 1 M 0 T 1 I 1 ] [L^{-1}M^{0}T^{1}I^{1}] [ L − 1 M 0 T 1 I 1 ] Show answer and solution
Answer: (b)
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Report a mistake Q81 JEE Main 2019 · 12 APR · SHIFT 1 Easy ☆
Units & Dimensions
Which of the following combinations has the dimension of electrical resistance (ϵ \epsilon ϵ μ \mu μ
(a) ϵ 0 μ 0 \sqrt{\frac{\epsilon_0}{\mu_0}} μ 0 ϵ 0 (b) ϵ 0 μ 0 \frac{\epsilon_0}{\mu_0} μ 0 ϵ 0 (c) μ 0 ϵ 0 \sqrt{\frac{\mu_0}{\epsilon_0}} ϵ 0 μ 0 (d) μ 0 ϵ 0 \frac{\mu_0}{\epsilon_0} ϵ 0 μ 0 Show answer and solution
Answer: (c)
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Report a mistake Q82 JEE Main 2016 · 9 APR · SHIFT 1 Easy ☆
Units & Dimensions
In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:
(a) ML− 3 {}^{-3} − 3 − 3 {}^{-3} − 3 (b) M− 1 {}^{-1} − 1 (c) M− 1 {}^{-1} − 1 − 3 {}^{-3} − 3 (d) M− 1 {}^{-1} − 1 − 3 {}^{-3} − 3 Show answer and solution
Answer: (c)
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Report a mistake Q83 JEE Main 2014 · 11 APR · SHIFT 1 Easy ☆
Units & Dimensions
In terms of resistance R and time T, the dimensions of ratio μ ϵ \frac{\mu}{\epsilon} ϵ μ μ \mu μ ϵ \epsilon ϵ
(a) [RT− 2 {}^{-2} − 2 (b) [R2T− 1 {}^{-1} − 1 (c) [R2] (d) [R2T2] Show answer and solution
Answer: (c)
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Report a mistake Q84 JEE Main 2014 · 12 APR · SHIFT 1 Medium ☆
Units & Dimensions
From the following combinations of physical constant (expressed through their usual symbols) the only combination, that would have the same value in different systems of unit, is:
(a) c h 2 π ϵ 0 2 \frac{ch}{2\pi\epsilon_0^2} 2 π ϵ 0 2 c h (b) e 2 2 π ϵ 0 G m e 2 \frac{e^2}{2\pi\epsilon_0 G m_e^2} 2 π ϵ 0 G m e 2 e 2 (c) μ 0 ϵ 0 c 2 G h e 2 \frac{\mu_0\epsilon_0}{c^2}\frac{G}{he^2} c 2 μ 0 ϵ 0 h e 2 G (d) 2 π μ 0 ϵ 0 c e 2 h G \frac{2\pi\sqrt{\mu_0\epsilon_0}}{ce^2}\frac{h}{G} c e 2 2 π μ 0 ϵ 0 G h Show answer and solution
Answer: (b)
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Report a mistake Q85 JEE Main 2013 · 22 APR · SHIFT 1 Easy ☆
Units & Dimensions
The dimensions of angular momentum, latent heat and capacitance are, respectively.
(a) M L 2 T 1 A 2 , L 2 T − 2 , M − 1 L − 2 T 2 ML^{2}T^{1}A^{2},\ L^{2}T^{-2},\ M^{-1}L^{-2}T^{2} M L 2 T 1 A 2 , L 2 T − 2 , M − 1 L − 2 T 2 (b) M L 2 T − 2 , L 2 T 2 , M − 1 L − 2 T 4 A 2 ML^{2}T^{-2},\ L^{2}T^{2},\ M^{-1}L^{-2}T^{4}A^{2} M L 2 T − 2 , L 2 T 2 , M − 1 L − 2 T 4 A 2 (c) M L 2 T − 1 , L 2 T − 2 , M L 2 T A 2 ML^{2}T^{-1},\ L^{2}T^{-2},\ ML^{2}TA^{2} M L 2 T − 1 , L 2 T − 2 , M L 2 T A 2 (d) M L 2 T − 1 , L 2 T − 2 , M − 1 L − 2 T 4 A 2 ML^{2}T^{-1},\ L^{2}T^{-2},\ M^{-1}L^{-2}T^{4}A^{2} M L 2 T − 1 , L 2 T − 2 , M − 1 L − 2 T 4 A 2 Show answer and solution
Answer: (d)
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Report a mistake Q86 JEE Main 2013 Easy ☆
Units & Dimensions
Let [ε 0 \varepsilon_0 ε 0
(a) ε 0 = [ M − 1 L − 3 T 2 A ] \varepsilon_0 = \left[M^{-1}L^{-3}T^{2}A\right] ε 0 = [ M − 1 L − 3 T 2 A ] (b) ε 0 = [ M − 1 L − 3 T 4 A 2 ] \varepsilon_0 = \left[M^{-1}L^{-3}T^{4}A^{2}\right] ε 0 = [ M − 1 L − 3 T 4 A 2 ] (c) ε 0 = [ M 1 L 2 T 1 A 2 ] \varepsilon_0 = \left[M^{1}L^{2}T^{1}A^{2}\right] ε 0 = [ M 1 L 2 T 1 A 2 ] (d) ε 0 = [ M 1 L 2 T 1 A ] \varepsilon_0 = \left[M^{1}L^{2}T^{1}A\right] ε 0 = [ M 1 L 2 T 1 A ] Show answer and solution
Answer: (b)
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Report a mistake Q87 NEET 2013 Easy ☆
Units & Dimensions
The pair of quantities having same dimensions is
(a) Impulse and Surface Tension (b) Angular momentum and Work (c) Work and Torque (d) Young's modulus and Energy Show answer and solution
Answer: (c)
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Report a mistake Q88 NEET 2012 · AIPMT · PRELIMS Easy ☆
Units & Dimensions
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
(a) kg m s− 1 {}^{-1} − 1 (b) kg m s− 2 {}^{-2} − 2 (c) kg s− 1 {}^{-1} − 1 (d) kg s Show answer and solution
Answer: (c)
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Report a mistake Q89 NEET 2012 · AIPMT · MAINS Easy ☆
Units & Dimensions
The dimensions of ( μ 0 ε 0 ) − 1 / 2 (\mu_0\varepsilon_0)^{-1/2} ( μ 0 ε 0 ) − 1/2
(a) [ L 1 / 2 T − 1 / 2 ] [L^{1/2}T^{-1/2}] [ L 1/2 T − 1/2 ] (b) [ L − 1 T ] [L^{-1}T] [ L − 1 T ] (c) [ L T − 1 ] [LT^{-1}] [ L T − 1 ] (d) [ L 1 / 2 T 1 / 2 ] [L^{1/2}T^{1/2}] [ L 1/2 T 1/2 ] Show answer and solution
Answer: (c)
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Report a mistake Q90 NEET 2011 · AIPMT · PRELIMS Easy ☆
Units & Dimensions
The dimensions of ( μ 0 ε 0 ) − 1 / 2 (\mu_0\varepsilon_0)^{-1/2} ( μ 0 ε 0 ) − 1/2
(a) [ L 1 / 2 T − 1 / 2 ] [L^{1/2}T^{-1/2}] [ L 1/2 T − 1/2 ] (b) [ L − 1 T ] [L^{-1}T] [ L − 1 T ] (c) [ L T − 1 ] [LT^{-1}] [ L T − 1 ] (d) [ L 1 / 2 T 1 / 2 ] [L^{1/2}T^{1/2}] [ L 1/2 T 1/2 ] Show answer and solution
Answer: (c)
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Report a mistake Q91 NEET 2009 · AIPMT Easy ☆
Units & Dimensions
If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be
(a) velocity if a = 1, b = 0, c = − - − (b) acceleration if a = 1, b = 1, c = − - − (c) force if a = 0, b = − - − − - − (d) pressure if a = 1, b = − - − − - − Show answer and solution
Answer: (d)
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Report a mistake Q92 JEE Main 2008 · AIEEE Easy ☆
Units & Dimensions
The dimension of magnetic field in M, L, T and C (coulomb) is given as
(a) MLT-1C-1 (b) MT2C-2 (c) MT-1C-1 (d) MT-2C-1 Show answer and solution
Answer: (c)
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Report a mistake Q93 NEET 2008 · AIPMT Medium ☆
Units & Dimensions
Which two of the following five physical parameters have the same dimensions? 1. Energy density
2. Refractive index
3. Dielectric constant
4. Young's modulus
5. Magnetic field
(a) 1 and 4 (b) 1 and 5 (c) 2 and 4 (d) 3 and 5 Show answer and solution
Answer: (a)
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Report a mistake Q94 NEET 2007 · AIPMT Easy ☆
Units & Dimensions
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be
(a) [ML2T− 2 {}^{-2} − 2 (b) [ML2T− 1 I − {}^{-1}\mathrm{I}^{-} − 1 I − (c) [ML2T− 3 I − {}^{-3}\mathrm{I}^{-} − 3 I − (d) [ML2T− 3 I − {}^{-3}\mathrm{I}^{-} − 3 I − Show answer and solution
Answer: (c)
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Report a mistake Q95 JEE Main 2006 · AIEEE Easy ☆
Units & Dimensions
Which of the following units denotes the dimension M L 2 Q 2 \frac{ML^2}{Q^2} Q 2 M L 2 Q Q Q
(a) W b / m 2 Wb/m^2 Wb / m 2 (b) Henry ( H ) (H) ( H ) (c) H / m 2 H/m^2 H / m 2 (d) Weber ( W b ) (Wb) ( Wb ) Show answer and solution
Answer: (b)
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Report a mistake Q96 NEET 2005 · AIPMT Easy ☆
Units & Dimensions
The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of
(a) time (b) frequency (c) angular momentum (d) velocity Show answer and solution
Answer: (b)
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Report a mistake Q97 JEE Main 2005 · AIEEE Easy ☆
Units & Dimensions
Out of the following pair, which one does NOT have identical dimensions is
(a) angular momentum and Planck's constant (b) impulse and momentum (c) moment of inertia and moment of a force (d) work and torque Show answer and solution
Answer: (c)
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Report a mistake Q98 NEET 2004 · AIPMT Easy ☆
Units & Dimensions
The unit of permittivity of free space, ε 0 \varepsilon_0 ε 0
(a) coulomb/newton-metre (b) newton-metre2/coulomb2 (c) coulomb2/newton-metre2 (d) coulomb2/(newton-metre)2 Show answer and solution
Answer: (c)
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Report a mistake Q99 NEET 2004 · AIPMT Easy ☆
Units & Dimensions
The dimensions of universal gravitational constant are
(a) [M− 1 {}^{-1} − 1 − 2 {}^{-2} − 2 (b) [ML2T− 1 {}^{-1} − 1 (c) [M− 2 {}^{-2} − 2 − 2 {}^{-2} − 2 (d) [M− 2 {}^{-2} − 2 − 1 {}^{-1} − 1 Show answer and solution
Answer: (a)
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Report a mistake Q100 JEE Main 2004 · AIEEE Easy ☆
Units & Dimensions
Which one of the following represents the correct dimensions of the coefficient of viscosity?
(a) ML-1T-1 (b) MLT-1 (c) ML-1T-2 (d) ML-2T-2 Show answer and solution
Answer: (a)
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Report a mistake Q101 JEE Main 2003 · AIEEE Easy ☆
Units & Dimensions
Dimensions of 1 μ 0 ε 0 \frac{1}{\mu_0\varepsilon_0} μ 0 ε 0 1
(a) [ L-1T ] (b) [ L-2T2 ] (c) [ L2T-2 ] (d) [ LT-1 ] Show answer and solution
Answer: (c)
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Report a mistake Q102 JEE Main 2003 · AIEEE Easy ☆
Units & Dimensions
The physical quantities not having same dimensions are
(a) torque and work (b) momentum and Planck's constant (c) stress and Young's modulus (d) speed and ( μ 0 ε 0 ) − 1 / 2 (\mu_0\varepsilon_0)^{-1/2} ( μ 0 ε 0 ) − 1/2 Show answer and solution
Answer: (b)
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Report a mistake Q103 JEE Main 2002 · AIEEE Easy ☆
Units & Dimensions
Identify the pair whose dimensions are equal
(a) torque and work (b) stress and energy (c) force and stress (d) force and work Show answer and solution
Answer: (a)
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Report a mistake Q104 NEET 2001 · AIPMT Easy ☆
Units & Dimensions
The dimensions of Planck's constant equals to that of
(a) energy (b) momentum (c) angular momentum (d) power Show answer and solution
Answer: (c)
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Report a mistake Q105 NEET 2000 · AIPMT Easy ☆
Units & Dimensions
Which pair do not have equal dimensions?
(a) Energy and torque (b) Force and impulse (c) Angular momentum and Planck constant (d) Elastic modulus and pressure. Show answer and solution
Answer: (b)
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Report a mistake Q106 NEET 1999 · AIPMT Easy ☆
Units & Dimensions
The dimensional formula for magnetic flux is
(a) [ M L 2 T − 2 A − 1 ] [\mathrm{ML^{2}T^{-2}A^{-1}}] [ M L 2 T − 2 A − 1 ] (b) [ M L 3 T − 2 A − 2 ] [\mathrm{ML^{3}T^{-2}A^{-2}}] [ M L 3 T − 2 A − 2 ] (c) [ M 0 L − 2 T 2 A − 2 ] [\mathrm{M^{0}L^{-2}T^{2}A^{-2}}] [ M 0 L − 2 T 2 A − 2 ] (d) [ M L 2 T − 1 A 2 ] [\mathrm{ML^{2}T^{-1}A^{2}}] [ M L 2 T − 1 A 2 ] Show answer and solution
Answer: (a)
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Report a mistake Q107 NEET 1996 · AIPMT Easy ☆
Units & Dimensions
The dimensions of impulse are equal to that of
(a) pressure (b) linear momentum (c) force (d) angular momentum Show answer and solution
Answer: (b)
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Report a mistake Q108 NEET 1996 · AIPMT Easy ☆
Units & Dimensions
Which of the following dimensions will be the same as that of time?
(a) L R \frac{L}{R} R L (b) C L \frac{C}{L} L C (c) L C LC L C (d) R L \frac{R}{L} L R Show answer and solution
Answer: (a)
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Report a mistake Q109 NEET 1995 · AIPMT Easy ☆
Units & Dimensions
Which of the following is a dimensional constant?
(a) Relative density (b) Gravitational constant (c) Refractive index (d) Poisson ratio Show answer and solution
Answer: (b)
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Report a mistake Q110 NEET 1995 · AIPMT Easy ☆
Units & Dimensions
The dimensions of R C RC RC
(a) square of time (b) square of inverse time (c) time (d) inverse time Show answer and solution
Answer: (c)
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Report a mistake Q111 NEET 1994 · AIPMT Easy ☆
Units & Dimensions
Which of the following has the dimensions of pressure?
(a) [ M L T − 2 ] [\mathrm{MLT^{-2}}] [ ML T − 2 ] (b) [ M L − 1 T − 2 ] [\mathrm{ML^{-1}T^{-2}}] [ M L − 1 T − 2 ] (c) [ M L − 2 T − 2 ] [\mathrm{ML^{-2}T^{-2}}] [ M L − 2 T − 2 ] (d) [ M − 1 L − 1 ] [\mathrm{M^{-1}L^{-1}}] [ M − 1 L − 1 ] Show answer and solution
Answer: (b)
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Report a mistake Q112 NEET 1992 · AIPMT Easy ☆
Units & Dimensions
The dimensions of universal gravitational constant are
(a) [ M − 1 L 3 T − 2 ] [\mathrm{M^{-1}L^{3}T^{-2}}] [ M − 1 L 3 T − 2 ] (b) [ M L 2 T − 1 ] [\mathrm{ML^{2}T^{-1}}] [ M L 2 T − 1 ] (c) [ M − 2 L 3 T − 2 ] [\mathrm{M^{-2}L^{3}T^{-2}}] [ M − 2 L 3 T − 2 ] (d) [ M − 2 L 2 T − 1 ] [\mathrm{M^{-2}L^{2}T^{-1}}] [ M − 2 L 2 T − 1 ] Show answer and solution
Answer: (a)
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Report a mistake Q113 NEET 1992 · AIPMT Medium ☆
Units & Dimensions
P P P c c c S S S x , y , z x, y, z x , y , z P x S y c z P^{x}S^{y}c^{z} P x S y c z
(a) x = 1 , y = 1 , z = 1 x = 1,\ y = 1,\ z = 1 x = 1 , y = 1 , z = 1 (b) x = − 1 , y = 1 , z = 1 x = -1,\ y = 1,\ z = 1 x = − 1 , y = 1 , z = 1 (c) x = 1 , y = − 1 , z = 1 x = 1,\ y = -1,\ z = 1 x = 1 , y = − 1 , z = 1 (d) x = 1 , y = 1 , z = − 1 x = 1,\ y = 1,\ z = -1 x = 1 , y = 1 , z = − 1 Show answer and solution
Answer: (c)
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Report a mistake Q114 NEET 1991 · AIPMT Easy ☆
Units & Dimensions
The dimensional formula of permeability of free space μ 0 \mu_0 μ 0
(a) [ M L T − 2 A − 2 ] [\mathrm{MLT^{-2}A^{-2}}] [ ML T − 2 A − 2 ] (b) [ M 0 L 1 T ] [\mathrm{M^{0}L^{1}T}] [ M 0 L 1 T ] (c) [ M 0 L 2 T − 1 A 2 ] [\mathrm{M^{0}L^{2}T^{-1}A^{2}}] [ M 0 L 2 T − 1 A 2 ] (d) none of these Show answer and solution
Answer: (a)
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Report a mistake Q115 NEET 1990 · AIPMT Easy ☆
Units & Dimensions
Which of the following has the dimensions of pressure?
(a) [ M L T − 2 ] [\mathrm{MLT^{-2}}] [ ML T − 2 ] (b) [ M L − 1 T − 2 ] [\mathrm{ML^{-1}T^{-2}}] [ M L − 1 T − 2 ] (c) [ M L − 2 T − 2 ] [\mathrm{ML^{-2}T^{-2}}] [ M L − 2 T − 2 ] (d) [ M − 1 L − 1 ] [\mathrm{M^{-1}L^{-1}}] [ M − 1 L − 1 ] Show answer and solution
Answer: (b)
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Report a mistake Q116 NEET 1989 · AIPMT Easy ☆
Units & Dimensions
If x = a t + b t 2 x = at + bt^2 x = a t + b t 2 x x x t t t b b b
(a) km/s \text{km/s} km/s (b) km s \text{km s} km s (c) km/s 2 \text{km/s}^2 km/s 2 (d) km s 2 \text{km s}^2 km s 2 Show answer and solution
Answer: (c)
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Report a mistake Q117 NEET 1989 · AIPMT Easy ☆
Units & Dimensions
Dimensional formula of self inductance is
(a) [ M L T − 2 A − 2 ] [\mathrm{MLT^{-2}A^{-2}}] [ ML T − 2 A − 2 ] (b) [ M L 2 T − 1 A − 2 ] [\mathrm{ML^{2}T^{-1}A^{-2}}] [ M L 2 T − 1 A − 2 ] (c) [ M L 2 T − 2 A − 2 ] [\mathrm{ML^{2}T^{-2}A^{-2}}] [ M L 2 T − 2 A − 2 ] (d) [ M L 2 T − 2 A − 1 ] [\mathrm{ML^{2}T^{-2}A^{-1}}] [ M L 2 T − 2 A − 1 ] Show answer and solution
Answer: (c)
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Report a mistake Q118 NEET 1989 · AIPMT Easy ☆
Units & Dimensions
The dimensional formula of torque is
(a) [ M L 2 T − 2 ] [\mathrm{ML^{2}T^{-2}}] [ M L 2 T − 2 ] (b) [ M L T − 2 ] [\mathrm{MLT^{-2}}] [ ML T − 2 ] (c) [ M L − 1 T − 2 ] [\mathrm{ML^{-1}T^{-2}}] [ M L − 1 T − 2 ] (d) [ M L − 2 T − 2 ] [\mathrm{ML^{-2}T^{-2}}] [ M L − 2 T − 2 ] Show answer and solution
Answer: (a)
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Report a mistake Q119 NEET 1989 · AIPMT Easy ☆
Units & Dimensions
Of the following quantities, which one has dimensions different from the remaining three?
(a) Energy per unit volume (b) Force per unit area (c) Product of voltage and charge per unit volume (d) Angular momentum Show answer and solution
Answer: (d)
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Report a mistake Q120 NEET 1988 · AIPMT Easy ☆
Units & Dimensions
If C C C R R R C R CR CR
(a) [ M 0 L 0 T 1 ] [\mathrm{M^{0}L^{0}T^{1}}] [ M 0 L 0 T 1 ] (b) [ M 0 L 0 T 0 ] [\mathrm{M^{0}L^{0}T^{0}}] [ M 0 L 0 T 0 ] (c) [ M 0 L 0 T − 1 ] [\mathrm{M^{0}L^{0}T^{-1}}] [ M 0 L 0 T − 1 ] (d) not expressible in terms of MLT Show answer and solution
Answer: (a)
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Report a mistake Q121 NEET 1988 · AIPMT Easy ☆
Units & Dimensions
The dimensional formula of angular momentum is
(a) [ M L 2 T − 2 ] [\mathrm{ML^{2}T^{-2}}] [ M L 2 T − 2 ] (b) [ M L − 2 T − 1 ] [\mathrm{ML^{-2}T^{-1}}] [ M L − 2 T − 1 ] (c) [ M L T − 1 ] [\mathrm{MLT^{-1}}] [ ML T − 1 ] (d) [ M L 2 T − 1 ] [\mathrm{ML^{2}T^{-1}}] [ M L 2 T − 1 ] Show answer and solution
Answer: (d)
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