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Physics - Elasticity Question with Solution | TestHub

PhysicsElasticityMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A metal rod of length $L$ and cross- sectional area $A$ is heated through $T^{o} C .$ What is the force required to prevent the expansion of the rod lengthwise?
$[Y$ = Young's modulus of the material of rod, $α =$ coefficient of linear expansion $]$

Options:

Answer:

Solution:

$∆ L = α L T$ ...... (i)

Also $Y = \frac{F}{A} . \frac{L (1 + α t)}{∆ L}$

Or $∆ L = \frac{F . L (1 + α t)}{A . Y}$ ........ (ii)

Equating (i) and (ii)

$\frac{F . L (1 + α t)}{A . Y} = α L T$

$∴ F = \frac{A Y α T}{(1 + α t)}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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