The quantities `A` and `B` are related by the relation `A//B=m,` where `m` is the linear density and `A` is force, the dimensions of `B` will be :

Options

A. same as that of pressure
B. same as that of work
C. that of momentum
D. same as that of latent heat

Answer

D

Explanation

`(A)/(B)=m:.B=(A)/(m)=("force")/("linear density")=(MLT^(-2))/(ML^(-1))`
`:.B=[M^(0)L^(2)T^(-2)]`
`Latent heat=("Heatenergy")/("mass")`
`=(ML^(2)T^(-2))/(M)=[M^(0)L^(2)T^(-2)]`
Thus `B` has same dimensions as that of latent heat.
So cannot choice is `(d)`.