If specific heat capacity of a substance in solid and liquid is proportional to the temperature of substance, then temperature Vs time plot for the substance is best present by [Assume heat is supplied to substance at constant rate and initial temperature is less than melthing pint of substance.

Options

A.
B.
C.
D.

Answer

D

Explanation

`S=k_(1)Ti(dQ)/(dt)=k_(2) dQ=msdlimpliesdQ=k_(2)dt m msdl=k_(2)dt`
`impliesintmk_(1)Tdt=intjk_(2)dt mk_(1)(T^(2))/(2)=k_(2)t`
`T^(2)proptimpliesy^(2)=4ax`
After that the nature of existance of matter change so proportionally constant change.
`S=k_(3)t d0=msdt` Similary, `mk_(3)(T^(2))/(2)=k_(2)t T^(2) propt`