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The velocity v of a particle is given in...

The velocity `v` of a particle is given in terms of time `t` by the equation
`v=at+(b)/(t+c)` The dimensions of `a,b` and `c` are :

Text Solution

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The correct Answer is:
C
Here at should have the dimensions of velocity. Therefore a has the dimensions of `("velocity")/("time")i.e.LT^(2.),c` is added to `t`. They should have same dimensions `i.e` `c` has the dimensions of time `[T].` Now `(b)/([T])` = velocity. Thus dimensions of `b` are that of length `L.` Hence correct choice is `(c ).`
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