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in Physics by (51.2k points)

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 source is turned off, the sample completely solidifies in time t seconds. The specific latent heat of fusion of the substance is 

(a) Pt 

(b) Pt/M 

(c) PtM 

(d) PM/t

1 Answer

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by (50.3k points)
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Best answer

Correct Answer is: (b) Pt/M 

For thermal equilibrium in the molten state, the rate of absorbing heat = P = the rate of losing heat due to radiation, etc. 

When the power source is turned off, the system continues to lose heat at the same rate, as its temperature does not change.

Therefore, heat lost in time t = Pt = required heat loss for complete solidification = ML, where L = specific latent heat of fusion.

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