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MHT CET Medical202622 April 2026Morning ShiftPhysicsWaves and SoundActual

Three tuning forks A, B and C have respective frequencies n₁ , n₂ and n₃ related as n₁ = 1.04 , n₂ and n₃ = 0.99 , n₂ . When A and C are sounded together 5 beats are heard per second. The frequencies of fork A, B and C are respectively.

Options

  1. A99 Hz, 100 Hz, 104 Hz
  2. B104 Hz, 99 Hz, 100 Hz
  3. C100 Hz, 104 Hz, 99 Hz
  4. D104 Hz, 100 Hz, 99 Hz

Correct answer

D. 104 Hz, 100 Hz, 99 Hz

Step-by-step solution

Given n₁ = 1.04 n₂ and n₃ = 0.99 n₂ . The beat frequency between A and C is given by |n₁ - n₃| = 5 . Substituting the given relations: |1.04 n₂ - 0.99 n₂| = 5 0.05 n₂ = 5 n₂ = 5 0.05 = 100 Hz Calculating n₁ and n₃ : n₁ = 1.04 100 = 104 Hz n₃ = 0.99 100 = 99 Hz The frequencies of forks A, B, and C are 104 Hz , 100 Hz , and 99 Hz respectively. Answer: 104 Hz, 100 Hz, 99 Hz

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