10-1.Thermometry, Thermal Expansion and Calorimetry
medium

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

A

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

B

$\frac{{Pt}}{m}$

C

$\frac{m}{{Pt}}$

D

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

(IIT-1992)

Solution

(b) Heat lost in $t$ sec $= mL$ or heat lost per sec $= \frac{{mL}}{t}$. This must be the heat supplied for keeping the substance in molten state per sec.

 $\frac{{mL}}{t} = P$ or $L = \frac{{Pt}}{m}$

Standard 11
Physics

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