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NEET 2026 (Re-neet) · Other SHM Systems

Other SHM Systems question from NEET 2026 (Re-neet)

Q6NEET 2026 · RE-NEETMedium

Other SHM Systems

A cylindrical cork of uniform density floats in a liquid of density ρ1\rho_1. If the cork is depressed slightly and released, it oscillates harmonically with time period TT. If the same cork floats in another liquid of density ρ2\rho_2, then the similar oscillation has time period 2T2T. The value of ρ2/ρ1\rho_2/\rho_1 is:

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Answer: (a)

  1. T=2πmAρg⇒T∝1ρT = 2\pi\sqrt{\frac{m}{A\rho g}} \Rightarrow T \propto \frac{1}{\sqrt{\rho}}
  2. T2T1=2=ρ1ρ2⇒ρ2ρ1=14\frac{T_2}{T_1} = 2 = \sqrt{\frac{\rho_1}{\rho_2}} \Rightarrow \frac{\rho_2}{\rho_1} = \frac{1}{4}, answer (a).
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