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MHT CET202613 April 2026Evening ShiftPhysicsWaves and SoundActual

Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. Which of the following is correct about the wavelength of a 700 Hz accoustic wave as it enters brass from warm air?

Options

  1. AIt increase by a factor 20
  2. BIt decrease by a factor 10
  3. CIt increase by a factor 10
  4. DIt decrease by a factor 20

Correct answer

C. It increase by a factor 10

Step-by-step solution

When a sound wave travels from one medium to another, its frequency f remains constant. The wavelength is given by the relation v = f , which implies v . Given the speed of sound in warm air v₁ = 350 m/s and in brass v₂ = 3500 m/s. The ratio of the wavelengths in the two media is: ₂ ₁ = v₂ v₁ = 3500 350 = 10 Thus, the wavelength increases by a factor of 10 . Answer: It increase by a factor 10

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