99 Percentile Qs Bank for JEE MainPhysicsUnits and Dimensions
Choose the physical quantity pair with the same dimensions.
Options
- AAngular momentum and work
- BWork and torque
- CPotential energy and linear momentum
- DKinetic energy and velocity
Correct answer
B. Work and torque
Step-by-step solution
Dimensional formula of work, ( aligned [W] & =[F] [s] & = [ MLT ⁻² ][ L ]= [ ML ^2 ~T ⁻² ] aligned ) Similarly, dimensional formulae of ( aligned Angular momentum [L] & =[m][v][r]=[ M ] [ LT ⁻¹ ][ L ] & = [ ML ^2 ~T ⁻¹ ] Torque [ ] & =[F] [r] & = [ MLT ⁻² ][ L ]= [ ML ^2 ~T ⁻² ] aligned ) ( aligned Potential energy [U] & =[m][g][h] & =[ M ] [ LT ⁻² ][ L ] & = [ ML ^2 ~T ⁻² ] aligned ) ( Linear momentum aligned [p] & =[m][v]=[ M ] [ LT ⁻¹ ] & = [ MLT ⁻¹ ] aligned ) ( aligned Kinetic energy [K] & = 1 2 [m] [v^2 ] & =