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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

A listener is stationary with respect to a source of sound. A wind begins blowing along the line connecting the source and the observer. Which of the following quantities remain unchanged?

Options

  1. AFrequency
  2. BVelocity of sound
  3. CWavelength
  4. DTime period

Correct answer

D. Time period

Step-by-step solution

Let v be the velocity of sound in still air, v_w be the velocity of wind, and f₀ be the frequency of the source. Since the source is stationary, the effective velocity of sound relative to the ground becomes v' = v v_w . The wavelength of the sound waves is given by ' = v' f₀ = v v_w f₀ . Thus, the wavelength changes. The listener is also stationary, so the speed of sound relative to the listener is v' . The frequency observed by the listener is f' = v' ' = v v_w v v_w f₀ = f₀ . Thus, the frequency remains unchange

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