Questions

The specific heat of many solids at low temperatures varies with absolute temperature T according to the relation $S = A T^{3}$ , where A is constant. The heat energy required to raise the temperature of a mass $m$ of such a solid from $T = 0$ to $T = 20 K$ is

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4×104mA

10×103mA

8×106mA

2×106mA

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detailed solution

Correct option is A

dQ=mSdT∫dQ=mA∫020T3 dt=mA|T44|020=mA4(20)4=mA4×16×104=4×104mA

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