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MHT CET 2020 (16 Oct, Shift 2) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2020 (16 Oct, Shift 2)

Q87MHT CET 2020 · 16 OCT · SHIFT 2Medium

Stationary Waves & Vibrating Strings

A sonometer wire under suitable tension having specific gravity ρ\rho, vibrates with frequency nn in air. If the load is completely immersed in water the frequency of vibration of wire will become

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Answer: (b)

  1. Immersed load loses weight equal to buoyancy: T′=Mg(1−1ρ)=T ρ−1ρT'=Mg\left(1-\frac{1}{\rho}\right)=T\,\frac{\rho-1}{\rho}.
  2. n∝T⇒n′=n[ρ−1ρ]1/2n \propto \sqrt{T} \Rightarrow n'=n\left[\frac{\rho-1}{\rho}\right]^{1/2}
  3. So the answer is (b).
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