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AP EAMCET · PHYSICS · Oscillations

A cone with half the density of water is floating in water as shown in figure. It is depressed down by a small distance δH and released. The frequency of simple harmonic oscillations of the cone is

  1. A 12π6gH1413
  2. B 12π3gH1413
  3. C 12π6g2H
  4. D 12πgH
Verified Solution

Answer & Solution

Correct Answer

(A) 12π6gH1413

Step-by-step Solution

Detailed explanation

Given that the density of the cone is half of the density of the water. If the height of the cone that is immersed in water at equilibrium is h, then for floating 13πR2HρC=13πr2hρW⇒r2hR2H=ρCρW=12⇒h3H3=12⇒h=1213H Now…