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 second. What is the latent heat of fusion of the substance?

\frac{P m}{t}

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\frac{P t}{m}

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\frac{m}{P t}

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\frac{t}{P m}

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Solution

The correct option is B $\frac{P t}{m}$
$\begin{matrix} P o w e r = \frac{θ}{T} θ = m a s s \times l a t e n t h e a t θ = m l P = \frac{M L}{T} \Rightarrow l = \frac{p t}{m} \end{matrix}$

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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 second. What is the latent heat of fusion of the substance?

The correct option is B PtmPower=θTθ=mass×latentheatθ=mlP=MLT⇒l=ptm

The correct option is B $\frac{P t}{m}$
$\begin{matrix} P o w e r = \frac{θ}{T} θ = m a s s \times l a t e n t h e a t θ = m l P = \frac{M L}{T} \Rightarrow l = \frac{p t}{m} \end{matrix}$