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KVPY2013PhysicsWaves and Sound

The figure below shows pressure variation in two different sound waves in air with time at a given position. Both the figures are drawn to the same scale. Which of the following statements is true?

Options

  1. AWave 1 has lower frequency and smaller amplitude compared to wave 2
  2. BWave 1 has higher frequency and greater amplitude compared to wave 2
  3. CWave 1 has shroter wavelength and greater amplitude compared to wave 2
  4. DWave 1 has shorter wavelength and smaller amplitude compared to wave 2

Correct answer

D. Wave 1 has shorter wavelength and smaller amplitude compared to wave 2

Step-by-step solution

Reason (brief): - The graphs are (P ) vs (t ) at a fixed position and same scale. - Wave 1 shows more oscillations in the same time ( ) higher frequency than Wave 2. - In the same medium, wave speed (v ) is the same, so (v=f = v f ). Hence higher (f ) (Wave 1) ( ) smaller ( ). - The peak displacement from the mean (pressure amplitude) is smaller for Wave 1 than for Wave 2. Therefore, Wave 1: shorter wavelength and smaller amplitude ( ) option (4).

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