COMEDK2013PhysicsUnits and Dimensions
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
Impulse = Force Time = [ MLT ⁻² ][ T ]= [ MLT ⁻¹ ] Surface tension = Force Length = [ MLT ⁻² ] [ L ] = [ ML ⁰ ~T ⁻² ] = Moment of intertia Angular velocity aligned Young's modulus &= Force Area L L &= [ MLT ⁻² ] [ L ] [ L ² ] [ L ] = [ ML ⁻¹ ~T ⁻² ] aligned Work and torque have same dimensions.