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AP EAMCET · PHYSICS · Oscillations

A hydrometer executes simple harmonic motion when it is pushed down vertically in a liquid of density ρ. If the mass of hydrometer is m and the radius of the hydrometer tube is r, then the time period of oscillation is

  1. A T=2πmπr2ρg
  2. B T=2ππr2ρgm
  3. C T=12πmπr2ρg
  4. D T=12ππr2ρg m
Verified Solution

Answer & Solution

Correct Answer

(A) T=2πmπr2ρg

Step-by-step Solution

Detailed explanation

If the hydrometer were in equilibrium or floating, its weight will be balanced by the buoyancy force acting on it by the fluid. During its small oscillation, let us locate the hydrometer when it is a vertically downward distance x from its equilibrium position. Here, the net…
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