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NEET2017PhysicsWaves and SoundActual

When a stretched wire and a tuning fork are sounded together, 5 beats per second are produced, when length of wire is 95 ~cm or 100 ~cm , frequency of the fork is

Options

  1. A90 ~Hz
  2. B100 ~Hz
  3. C105 ~Hz
  4. D195 ~Hz

Correct answer

D. 195 ~Hz

Step-by-step solution

Let the frequency of tuning fork be n . Suppose l₁=95 ~cm has frequency n₁ and l₂=100 ~cm has frequency n₂ ( Also, n₁ n₂ = l₂ l₁ = 100 95 n₁= 100 95 n₂ From eqn. (iii), 100 95 n₂-n₂=10, n₂=190 From eqn. (ii), n=n₂+5=190+5=195 ~Hz .

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