Question

If velocity, time and force were chosen the basic quantities, find the dimensions of mass? CLASS - XI PHYSICS (Physical World & Measurement)

Answer 1

Let M = K va tb Fc   ........... (1)[M1 L0 T0] = K [LT-1]a [ T ]b [M L T-2]c                  = K [Mc La+c T-a+ b - 2c]Applying, principle of homogenity of dimensions, we get :c = 1a + c = 0-a + b - 2c  = 0On solving above equations, we get :c =1a = -1b = 1from eq. 1, we get :M = K v-1 t1  F1