Q171 / 225 · JEE Main 2003 · Physics

The physical quantities not having same dimensions are

  • A
    torque and work
  • Correct answer
    B
    momentum and Planck's constant
  • C
    stress and Young's modulus
  • D
    speed and $\left(\mu_0 \varepsilon_0\right)^{-1 / 2}$

Solution

$[$ momentum $]=[\mathrm{M}][\mathrm{L}]\left[\mathrm{T}^{-1}\right]=\left[\mathrm{MLT}^{-1}\right]$ (Planck's Constant) $=\frac{E}{\mathrm{u}}=\frac{[\mathrm{M}]\left[\mathrm{LT}^{-1}\right]^2}{\mathrm{~T}^{-1}}=\mathrm{ML}^2 \mathrm{~T}^{-1}$

Hence, the correct answer is option: 'B'.

Relevant Questions