The quantities `A and B` are related by the relation `A//B = m`, where `m` is the linear mass density and `A` is the 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 learnt 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 `= ("Heat energy")/("Mass") = (ML^(2)T^(-2))/(M) = [ M^(0) L^(2) T^(-2) ]`
Thus , `B` has dimensions as that of latent heat.