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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoCalorimetryMedium2 minQB

PhysicsMediumsingle choice

The specific heat of a metal at low temperatures varies according to $S = a T^{3}$ where $a$ is a constant and $T$ is the absolute temperature. The heat energy needed to raise the temperature of unit mass of the metal from $T = 1$ K to $T = 2$ K is

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Answer:

Solution:

For unit mass:
$d H = S d T$
$H = a \int_{1}^{2} t^{3} d t$
$H = a [\frac{t ^{4}}{4}]_{1}^{2}$
$H = \frac{a ( 16 - 1 )}{4} = \frac{15 a}{4}$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

⏱ 2mℹ️ Source: QB

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