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MHT CET20242 May 2024Evening ShiftPhysicsWaves and SoundActual

A sonometer wire is stretched by hanging a metal bob. The fundamental frequency of vibration of wire is ' n₁ '. When the bob is completely immersed in water, the frequency of vibration of wire becomes ' n₂ '. The relative density of the metal of the bob is

Options

  1. An₁ n₁-n₂
  2. Bn ₂ n ₁- n ₂
  3. Cn₁^2 n₁^2-n₂^2
  4. Dn ₂^2 n ₁^2- n ₂^2

Correct answer

C. n₁^2 n₁^2-n₂^2

Step-by-step solution

n = 1 2 ~L ~T The sonometer wire is stretched by a metal bob, T = mg = W where W is weight of metal bob array ll & From(i), & n ₁= 1 2 ~L ~W ₁ , n ₂= 1 2 ~L ~W ₂ & ~W ₁ ~W ₂ = n ₁^2 n ₂^2 & Relative density ( )= weight in air loss of weight in water & W ₁ ~W ₁- W ₂ = n ₁^2 n ₁^2- n ₂^2 array

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