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JEE Advanced · 2009 · 12 Apr 2009 · Paper 2 · Waves & Sound

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A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air-column is the second resonance. Then,
  1. (A)the intensity of the sound heard at the first resonance was more than that at the second resonance✓ Correct
  2. (B)the prongs of the tuning fork were kept in a horizontal plane above the resonance tube
  3. (C)the amplitude of vibration of the ends of the prongs is typically around 1 cm
  4. (D)the length of the air-column at the first resonance was somewhat shorter than 1/4th of the wavelength of the sound in air✓ Correct

Answer: (A), (D)

Solution

In the resonance tube experiment: (A) The intensity at the first resonance is greater because the air column is shorter, leading to less damping and energy loss. (D) Due to the end correction, the effective length of the air column is slightly greater than the physical length, so the first resonance occurs at a length somewhat shorter than . The prongs are kept vertical (not horizontal), and their amplitude is typically a few millimeters, not 1 cm.

JEE Advanced · 2009 · 12 Apr 2009 · Paper 2 · One or more correct options

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