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Physics - Elasticity Question with Solution | TestHub

PhysicsElasticityMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two wires of the same material and lengths but having diameters in the ratio of $1 : 2$ are stretched by a force of equal magnitude. The ratio of potential energy stored per unit volume for the two wires when stretched will be

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Answer:

Solution:

$u = \frac{1}{2}$ stress × strain
Stress $= \frac{f}{A_{1}};$ Strain $= \frac{f}{A_{1} Y}$
$u \propto \frac{1}{A^{2}}$
$\frac{u_{1}}{u_{2}} = \frac{A_{2}^{2}}{A_{1}^{2}} = {(\frac{4 π r^{2}}{π r^{2}})}^{2}$
$\frac{u_{1}}{u_{2}} = \frac{16}{1}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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