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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

PhysicsMediumsingle choice

A rod of length $ℓ$ , made of an isotropic material of Young modulus $Y$ and cross-sectional area $A$ , is fitted between two parallel fixed walls a distance $ℓ$ apart and heated uniformly. When its temperature changes by $θ$ from $0^{\circ} C$ , the compressive force is:

Options:

Answer:

Solution:

The free heated length is
$ℓ^{'} = ℓ (1 + α θ)$
Compressing it back to $ℓ$ gives strain
$\frac{α θ}{1 + α θ}$
$F = A Y \frac{α θ}{1 + α θ}$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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