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The velocity v of a particle at time t i...

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

`[L],[LT]and[LT^(-2)]`

B

`[LT^(-2)],[L]and[T]`

C

`[L^(2)],[T]and[LT^(2)]`

D

`[LT^(2)],[LT]and[L]`

Text Solution

Verified by Experts

The correct Answer is:
B
`v=at+(b)/(t+c)`
As c is added to t, `:.c=[T]`
`at=LT^(-1)or,a=([LT^(-1)])/(T)=LT^(-2)`
`([b])/([T])=[LT^(-1)]`
`:.[b]=[L]`.
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