1.

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 :

Answer»

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

SOLUTION :`v=at+(b)/(t+c)`
By PRINCIPLE of homogeneity,
dim `(at)`=dim`(v)`implies`a=(LT^(-1))/(T)=[LT^(-2)]`
Also dim `(c )`=dim`(t)`=`[T]`
Now `(b)/("time")=Velocity:.b=velocityxxtime`
` =LT^(-1)xxT=[L]`
So correct choice is `(c ).`


Discussion

No Comment Found

Related InterviewSolutions