NEET2013PhysicsUnits and DimensionsActual
The pair of quantities having same dimensions is:
Options
- AImpulse and Surface Tension
- BAngular momentum and Work
- CWork and Torque
- DYoung's modulus and Energy
Correct answer
C. Work and Torque
Step-by-step solution
(1) aligned Torque = F.S. & = [ MLT ⁻² ][ L ] & = [ ML ^2 ~T ⁻² ] aligned correct option is (3) (2) Angular moment = M.I. angular velocity aligned = [ ML ^2 ] [ T ⁻¹ ] & = [ ML ^2 ~T ⁻¹ ] Work =F . S . & = [ MLT ⁻² ][ L ] & = [ ML ^2 ~T ⁻² ] aligned (3) Work = [ ML ^2 ~T ⁻² ] from Related Theory (1) aligned & Impluse = force time &= [M L T⁻² ][T]= [M L T⁻¹ ] & Surface tension = Force length = & [M L T⁻² ] [L] = [M T⁻¹ ] aligned