The physical quantities not having same dimensions are

Question

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

Tardigrade Admin · Accepted Answer

Dimensions of momentum = kg m/sec = [MLT−2] Dimensions of Planck’s constant = joule sec = [ML2T−1] ∴ Dimensions of momentum ≠ dimensions of Planck’s constant.

Q. The physical quantities not having same dimensions are

torque and work

momentum and Planck’s constant

stress and Young’s modulus

speed and $(μ_{0} ε_{0})^{- 1/2}$

Dimensions of momentum $= k g m / sec = [M L T^{- 2}]$
Dimensions of Planck’s constant = joule sec $= [M L^{2} T^{- 1}]$
$∴$ Dimensions of momentum $\neq =$ dimensions of Planck’s constant.