Question

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\({\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}\)

Answer 1

Correct option is 2) momentum and Planck's constant

Momentum = mv = \([{M{L}{T^{ - 1}}}]\)

Planck's constant, h = \({E \over v}={[{M{L^2}{T^{ - 2}]}} \over {[{T^{ - 1}}]}}= [{M{L^2}{T^{ - 1}}}]\)

So Momentum and Planck's constant do not have same dimensions