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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

Sound is primarily transmitted in the forward direction when its wavelength is significantly smaller than the speaker's diameter. Determine the frequency at which the sound's wavelength is one tenth of the diameter of a loudspeaker whose diameter is 20 cm . Assume the speed of sound is 340 m s ⁻¹ .

Options

  1. A3.4 kHz
  2. B1.7 kHz
  3. C170 kHz
  4. D17 kHz

Correct answer

D. 17 kHz

Step-by-step solution

Given diameter of the loudspeaker, D = 20 cm = 0.2 m Wavelength of the sound, = D 10 = 0.02 m Speed of sound, v = 340 m s ⁻¹ Using the relation v = f , the frequency f is given by: f = v f = 340 0.02 = 17000 Hz f = 17 kHz

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