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MHT CET202120 Sep 2021Evening ShiftPhysicsWaves and SoundActual

Two wires of same material of radius ' r ' and ' 2 r ' respectively are welded together end to end. The combination is then used as a sonometer wire under tension ' T '. The joint is kept midway between the two bridges. The ratio of the number of loops in the wires with that the joint is a node is

Options

  1. A1: 5
  2. B1: 2
  3. C1: 4
  4. D1: 3

Correct answer

B. 1: 2

Step-by-step solution

Frequency of vibration will be same for both the segments. If p ₁ and p ₂ are the number of loops for the wires of radius r and 2 r then we have aligned & n = p ₁ 2 T r ^2 = p ₂ 4 T (2 r )^2 & p ₁ p ₂ = 1 2 aligned

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