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Physics - Elasticity Question with Solution | TestHub

PhysicsElasticityMiscellaneousMedium2 minPYQ_2018

PhysicsMediumsingle choice

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area $a$ floats on the surface of the liquid, covering entire cross-section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere $(\frac{d r}{r})$ , is:

Options:

Answer:

Solution:

For sphere, $\lor = \frac{4}{3} π r^{3}$ $\Rightarrow \frac{∆ \lor}{\lor} = 3 \frac{∆ r}{r}$ $\Rightarrow P = K \frac{Δ V}{V}$
$\Rightarrow P = 3 K (\frac{Δ R}{R})$ $\Rightarrow \frac{m g}{3 K a} = (\frac{Δ R}{R})$ .

Stream:JEESubject:PhysicsTopic:ElasticitySubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2018

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