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The velocity (V) of a particle (in cm/s)...

The velocity (V) of a particle (in cm/s) is given in terms of time (t) in sec by the equation `V=at+(b)/(c+t)`. The dimensions of a, b and c are

A

`a = L^2 , b = T , c = LT^(2)`

B

`a = LT^2 , b = LT , c = L`

C

`a = LT^2 , b = L , c = T`

D

`a = L , b = LT , c = T^2`

Text Solution

Verified by Experts

The correct Answer is:
C
`[at]=[v]implies[a] =[LT^(-2)]`
`[c]=[t]=[T]`
`[b/t]=[v]implies [b] = [L]`
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