COMEDK2019PhysicsUnits and Dimensions
The physical quantity having the same dimensions as Planck's constant h is
Options
- ABoltzmann constant
- Bforce
- Clinear momentumi
- Dangular momentum
Correct answer
D. angular momentum
Step-by-step solution
Dimensional formula of Planck's constant = [ M ¹ ~L ² ~T ⁻¹ ] Similarly, Boltzmann constant is given K= Energy Temperature The dimension of K is = [M L² T⁻² ] [K] = [M¹ L² T⁻² K⁻¹ ] Dimensional formula of force is [ M ^ l L ¹ ~T ⁻² ] . Dimensional formula of linear momentum is [M¹ L¹ T⁻¹ ] . Dimensional formula of angular momentum is [ M ¹ ~L ² ~T ⁻¹ ] . Hence, angular momentum and Planck's constant have same dimensional formula.