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Questions based on phase change

Question

A substance of mass m kg requires a power input of P watt to remain in the molten state at its melting point. When the power is turned off, the sample completely solidifies in time t sec. The latent heat of fusion of the substance is:

Moderate

A

$\frac{Pm}{t}$
B

$\frac{Pt}{m}$
C

$\frac{m}{Pt}$
D

$\frac{t}{Pm}$

Solution

Equating energy supplied at time t with heat required for phase change, ${mL}_{f} = Pt \Rightarrow L_{f} = \frac{Pt}{m}$ .

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