JEE Main2012PhysicsUnits and DimensionsActual
Given that K= energy, V= velocity, T= time. If they are chosen as the fundamental units, then what is dimensional formula for surface tension?
Options
- A[K V⁻² ~T ⁻² ]
- B[K^2 V^2 T⁻² ]
- C[K^2 V⁻² T⁻² ]
- D[K V^2 T^2 ]
Correct answer
A. [K V⁻² ~T ⁻² ]
Step-by-step solution
Surface tension = F = F T^2 T^2 (As, F . =K ( . energy) ; T^2 ^2 =V⁻² ) Therefore, surface tension = [K V⁻² T⁻² ]