A body is moving undirectionally under the influence of a source of constatn power. It displacement in time t is proportional to (i) `t^(1//2)` (ii) t (iii) `t^(3//2)` (iv) `t^(2)`

Options

A. `t^(1//2)`
B. t
C. `t^(3//3)`
D. `t^(2)`

Explanation

ii) p = force x velocity
`[p]=[F][v]=[MLT^(-2)][LT^(-1)]`
`rArr [p]=[ML^(2)T^(-1)]`
or `L^(2)T^(-3)` = constant rArr `L^(2)/T^(2)` = constant
`therefore L^(2) propto T^(3) rArr L propto T^(3//2)`