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 (μ₀ε₀)-1/2

Answer: (b). Torque and work: both [ML²T⁻²]. Stress and Young's modulus: both [ML⁻¹T⁻²]. (μ₀ε₀)-1/2 = c, a speed. Momentum = [MLT⁻¹] but Planck's constant h = E/ν = [ML²T⁻¹]: different. So the answer is (b).

The physical quantities not having same dimensions are | JEE Main 2003 (AIEEE)

Q102JEE Main 2003 · AIEEEEasy

Units & Dimensions

The physical quantities not having same dimensions are

Show answer and solution

Answer: (b)

Torque and work: both $[\mathrm{ML^2T^{-2}}]$ . Stress and Young's modulus: both $[\mathrm{ML^{-1}T^{-2}}]$ .
$(\mu_0\varepsilon_0)^{-1/2} = c$ , a speed.
Momentum $= [\mathrm{MLT^{-1}}]$ but Planck's constant $h = E/\nu = [\mathrm{ML^2T^{-1}}]$ : different.
So the answer is (b).

Report a mistake

Practise all 121 questions on Units & Dimensions
All 71 questions from JEE Main 2003 (AIEEE)
Units, Dimensions and Measurement: all topics and PYQs

Units & Dimensions question from JEE Main 2003 (AIEEE)

More questions on Units & Dimensions