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)

Answer: (c). Viscosity η = (F)/(A (dv/dx)) = [ML⁻¹T⁻¹] → (IV). Intensity = P/A = [ML²T⁻³][L²] = [ML⁰T⁻³] → (I). Pressure gradient = [ML⁻¹T⁻²][L] = [ML⁻²T⁻²] → (II). Compressibility = 1/bulk modulus = [M⁻¹LT²] → (III). So the answer is (c) A-IV, B-I, C-II, D-III.

Match List I with List II. Choose the correct answer from the options… | JEE Main 2025 (2 Apr, Shift 1)

Q18JEE Main 2025 · 2 APR · SHIFT 1Easy

Units & Dimensions

Match List I with List II.

Choose the correct answer from the options given below:

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Answer: (c)

Viscosity $\eta = \dfrac{F}{A\,(dv/dx)} = [\mathrm{ML^{-1}T^{-1}}]$ → (IV).
Intensity $= \dfrac{P}{A} = \dfrac{[\mathrm{ML^2T^{-3}}]}{[\mathrm{L^2}]} = [\mathrm{ML^0T^{-3}}]$ → (I).
Pressure gradient $= \dfrac{[\mathrm{ML^{-1}T^{-2}}]}{[\mathrm{L}]} = [\mathrm{ML^{-2}T^{-2}}]$ → (II).
Compressibility $= 1/\text{bulk modulus} = [\mathrm{M^{-1}LT^{2}}]$ → (III).
So the answer is (c) A-IV, B-I, C-II, D-III.

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