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

Options

A. Pressure
B. Work
C. Latent heat
D. None of the above

Answer

C

Explanation

m = linear density = mass per unit length = `[ML^(-1)]`
A = force `= [MLT^(-2)]`
A = force = `[MLT^(-2)]`
`m =A/B implies B = (A)/m =([MLT^(-2)])/([ML^(-1)])=[L^2 T^(-2)]`
Same dimension of latent heat.