The physical quantities not having same dimensions are

The physical quantities not having same dimensions are
  1. torque and work
  2. momentum and Planck's constant
  3. stress and Young's modulus
  4. 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) $=\frac{E}{\mathrm{u}}=\frac{[\mathrm{M}]\left[\mathrm{LT}^{-1}\right]^2}{\mathrm{~T}^{-1}}=\mathrm{ML}^2 \mathrm{~T}^{-1}$

Asked in: JEE Main 2003

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