The bulk modulus of a spherical object is ‘ B ’. If it is subjected to uniform pressure ‘ p ’, the fractional decrease in radius is: - Physics MCQ NEET (UG) 2017 2026 | ExamTest.live

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

Solution & Step-by-step Explanation

Bulk modulus B = \frac{p}{Δ V / V} ⟹ \frac{Δ V}{V} = \frac{p}{B} .For a sphere, V = \frac{4}{3} π r^{3} .Taking log and differentiating: \frac{Δ V}{V} = 3 \frac{Δ r}{r} . \frac{p}{B} = 3 \frac{Δ r}{r} \frac{Δ r}{r} = \frac{p}{3 B}

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

\frac{B}{3 p}

\frac{3 p}{B}

\frac{p}{3 B}

\frac{p}{B}

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