The velocity v of a particle at time t is given by `v=at+b/(t+c)`, where a, b and c are constants. The dimensions of a, b, c are respectively :-
A. `[LT^(-2)[, [L]` and `[T]`
B. `[L^(2)], [T]` and `[LT^(2)]`
C. `[LT^(2)], [LT]` and `[L]`
D. `[L], [Lt]` and `[T^(2)]`
A. `[LT^(-2)[, [L]` and `[T]`
B. `[L^(2)], [T]` and `[LT^(2)]`
C. `[LT^(2)], [LT]` and `[L]`
D. `[L], [Lt]` and `[T^(2)]`
Correct Answer – a
Dimension of at = Dimension of v
Dimension of c = Dimension of t
Dimension of `b/(t+c)=` Dimension of v