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. latent heat
C. work
D. None of these

Answer

B

Explanation

Given, `m=(A)/(B)`
`therefore "Dimensions of "B=[B]=([A])/([m])`
Here, `A` = force = `["MLT"^(-2)]`
and `m` = linear density = mass per unit length = `(["M"])/(["L"])`
`therefore" "[B]=(["MLT"^(-2)])/(["ML"^(-1)])=["L"^(2)"T"^(-2)]`
This is same dimension as that of latent heat.