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Physics · PYQ NEET UG 2026
हिन्दीA cylindrical cork of uniform density floats in a liquid of density \( \rho_1 \). If the cork is depressed slightly and released, it oscillates harmonically with time period \( T \). If the same cork floats in another liquid of density \( \rho_2 \), then the similar oscillation has time period \( 2T \). The value of \( \rho_2/\rho_1 \) is :
Correct answer · Option 4
\( 1/4 \)
Explanation
Time period \( T = 2\pi \sqrt{\frac{m}{A \rho g}} \propto \frac{1}{\sqrt{\rho}}\. Thus \(\frac{T_2}{T_1} = \sqrt{\frac{\rho_1}{\rho_2}} = 2 \), giving \( \frac{\rho_2}{\rho_1} = \frac{1}{4} \).
