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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoCalorimetryMedium2 minQB

PhysicsMediumsingle choice

The specific heat of a solid at low temperature varies according to the relation $c = k T^{3}$ where $k$ is a constant and $T$ is temperature in kelvin. The heat required to raise the temperature of a mass $m$ of such a solid from $T = 0$ K to $T = 20$ K is :

Options:

Answer:

Solution:

Heat required:
$Δ Q = \int m c d T$
$Δ Q = \int_{0}^{20} mk T^{3} d T$
$Δ Q = [\frac{mk T ^{4}}{4}]_{0}^{20}$
$Δ Q = \frac{mk \times 2 0 ^{4}}{4}$
$Δ Q = 4 \times 1 0^{4} mk$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

⏱ 2mℹ️ Source: QB

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