If energy (E), velcocity (V) and time (T) were chosen as fundamental physical quantities for measurement, then the dimensional formula for mass will be

Options

A. `[E^(1) V^(2)T^(1)]`
B. `[E^(2)V^(-2)T^(0)]`
C. `[E^(1)V^(-2)T^(0)]`
D. `[E^(-1)V^(2)T^(1)]`

Answer

C

Explanation

`because ` Kinetic energy = `(1)/(2) mV^(2)`
`therefore [m] = [(E)/(V^(2))] = [E^(1)V^(-2)T^(0)]`