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The velocity of a particle in time t is ...

The velocity of a particle in time t is v = `at + (b)/(t+c)`. The dimension of a, b and c are

A

`L^(2)`, T, LT

B

`LT^(-2)`,L,T

C

`LT^(2)`,LT,L

D

L,LT,`T^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
[v]= `LT^(-1)`
`:." " [at]=LT^(-1) " ""or",[a] = (LT^(-1))/(T)= LT^(-2)`
Again [t+c] = T `:. [c] =T`
Now `[(b)/(t+c)]=LT^(-1)" ""or",[b] = LT^(-1).T =L`
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