JEE MAIN - Physics (2003 - No. 53)
The physical quantities not having same dimensions are
torque and work
momentum and Planck's constant
stress and Young's modulus
speed and $${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$$
Paliwanag
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.
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.