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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 :

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$\frac{P m}{t}$

$\frac{P t}{m}$

$\frac{m}{P t}$

$\frac{t}{P m}$

answer is B.

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Detailed Solution

Heat required $= P \times t$
But $Q = m L$
$m L = P t$
$L = \frac{P t}{m}$

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