If specific ehat capacity of a substance in solid and liquid state is proportional to temperature of the substance, then if heat is supplied to the solid intially at `-20^(@)C` (having melting `0^(@)C`) at contant rate. Then the temperature dependence of solid with time will be best represented by:

Options

A.
B.
C.
D.

Explanation

As `dQ=msdT`
`(dQ)/(dt)=ms(dT)/(dt)`
From question `SpropT`
or `S=K_(1)T.(K_(1)` being propertionality constant)
Also, `(dtheta)/(dt)="constant"=K_(2)("say")impliesms(dT)/(dt)=K_(2)impliesm(K_(1)T)(dT)/(dt)=K_(2)`
`implies(m(K_(1))/(K_(2)))(T^(2))/(2)=timpliesT-propsqrt(t)`