A substance of mass m kg requires a power input of P watts …

Physics Thermometry, Thermal Expansion and Calorimetry Mix Single Correct MCQ

Published on: September 13, 2026

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

$\frac{\mathit{Pm}}{\mathit{t}}$

$\frac{P t}{m}$

\overline{m}

$\frac{t}{Pm}$

Text Solution

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The correct answer is:

Heat lost in t sec = mL or heat lost per sec = $\frac{m_L}{t}$ . This must be the heat supplied for keeping

the substance in molten state per sec.

∴ ∴ $\frac{m_L}{t} = P$ or $L = \frac{P t}{m}$

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