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The velocity of a particle v at a instan...

The velocity of a particle v at a instant t is given by `v=at+bt^(2)`. The dimension of b is

A

`[L]`

B

`[LT^(-1)]`

C

`[LT^(-2)]`

D

`[LT^(-3)]`

Text Solution

Verified by Experts

The correct Answer is:
D
`V=at+bt^(2)`
According to principle of homogeneity.
Dimension of V = Dimension of at
= Dimension of `bt^(2)`
`b=(LT^(-1))/(T^(2))=LT^(-3)`
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