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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

`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
`v=at + (b)/(t+c)`
Dimensionally
at = `v rArr a[T] = [LT^(-1)]rArr a = [LT^(-2)]`
`c = t rArr c = [M^(0)L^(0) T^(1)]`
`(b)/(t+c) = v rArr (b)/(T) = [LT^(-1)] rArr b= [M^(0)L^(1)T^(0)]`
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ALLEN -PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT -EXERCISE-II AIPMT 2006
  1. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

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