JEE Main2013PhysicsUnits and DimensionsActual
The dimensions of angular momentum, latent heat and capacitance are, respectively.
Options
- AML ^2 ~T ^1 ~A ^2, ~L ^2 ~T ⁻², M ⁻¹ ~L ⁻² ~T ^2
- BML ^2 ~T ⁻², ~L ^2 ~T ^2, M ⁻¹ ~L ⁻² ~T ^4 ~A ^2
- CML ^2 ~T ⁻¹, ~L ^2 ~T ⁻², ML ^2 TA ^2
- DML ^2 ~T ⁻¹, ~L ^2 ~T ⁻², M ⁻¹ ~L ⁻² ~T ^4 ~A ^2
Correct answer
D. ML ^2 ~T ⁻¹, ~L ^2 ~T ⁻², M ⁻¹ ~L ⁻² ~T ^4 ~A ^2
Step-by-step solution
Angular momentum = m v r = ML ^2 ~T ⁻¹ Latent heat L = Q m = ML ^2 ~T ⁻² M = L ^2 ~T ⁻² Capacitance C = Charge P.d. = M ⁻¹ ~L ⁻² ~T ^4 ~A ^2