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. Pressure
B. Work
C. Latent heat
D. None of these

Answer

C

Explanation

`m =` linear `=` mass per unit length `= [(M)/(L)]`
`A = "force" = [MLT^(-2)]`
`:. [B] = ([A)]/([m)]= ([MLT^(-2)])/([ML^(-2)]) = [L^(2)T^(-2)]`
This is same dimension as that of latent heat.