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JEE · NEET Previous Year Question

$The bulk modulus of a spherical object is’B’. If it is subjected to uniform pressure ‘p’, the fractional decrease in radius is:$

Topic: NEET PYQ

Answer: D. Full step-by-step solution below.

A $\frac{p}{B}$
B $\frac{B}{3 p}$
C $\frac{3 p}{B}$
D $\frac{p}{3 B}$

Correct answer: D

Solution

(d) B = \frac{P}{- \frac{Δ V}{V}} \Rightarrow (\frac{Δ V}{V}) = \frac{P}{B} \frac{Δ V}{V} = \frac{3Δ R}{R} = \frac{P}{B} \Rightarrow \frac{Δ R}{R} = \frac{P}{3 B}

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