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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 and 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)]`

Text Solution

Verified by Experts

The correct Answer is:
A
The given expression is
`v = at +(b)/(t+c)`
From principle of homogeneity
`[a] [t] = [v]`
`[a] = ([v])/([t]) = ([LT^(-1)])/([T]) = [LT^(-2)]`
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