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MHT CET Medical202621 April 2026Morning ShiftPhysicsWaves and SoundActual

A sound wave travels from a region of air at 20^ C into a region at 40^ C . What is the ratio of the wavelengths ( ₄₀/ ₂₀ ), if the frequency remains constant?

Options

  1. A313 293
  2. B313 293
  3. C40 20
  4. D40 20

Correct answer

A. 313 293

Step-by-step solution

The speed of sound in an ideal gas is given by v = R T M , which implies v T , where T is the absolute temperature. The absolute temperatures are T₂₀ = 20 + 273 = 293 K and T₄₀ = 40 + 273 = 313 K . Since the frequency f remains constant and v = f , the wavelength is directly proportional to the speed of sound v . Therefore, T . The ratio of the wavelengths is ₄₀ ₂₀ = T₄₀ T₂₀ = 313 293 . Answer: 313 293

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