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AP EAMCET201822 Apr 2018Evening ShiftPhysicsWaves and SoundActual

An object of density 2000 ~kg - m ⁻³ is hung from a thin light wire. The fundamental frequency of the transverse waves in the wire is 200 ~Hz . If the object is immersed in water such that half of its volume is submerged, then the fundamental frequency of the transverse waves in the wire is

Options

  1. A200 Hz
  2. B173.2 Hz
  3. C100 Hz
  4. D141.4 Hz

Correct answer

B. 173.2 Hz

Step-by-step solution

Fundamental frequency, initially n₁= 1 2 l T = 1 2 l V g(2000) Fundamental frequency, finally n₂= 1 2 l V g (2000- 1000 2 ) (here we applied loss of weight due to upthrust) aligned & = 1 2 l V g 1500 n₁ n₂ & = 2000 1500 = 4 3 n₂ & = n₁ 3 2 =100 3 ~Hz =173.2 ~Hz aligned

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