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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

Sound waves from a loudspeaker propagate nearly uniformly in all directions when the sound's wavelength is significantly greater than the loudspeaker's diameter. Compute the frequency at which the wavelength of sound in air equals ten times the speaker's diameter, given a diameter of 20 cm . Take the speed of sound as 340 m s ⁻¹ .

Options

  1. A170 Hz
  2. B34 Hz
  3. C1700 Hz
  4. D17 Hz

Correct answer

A. 170 Hz

Step-by-step solution

Given diameter of the loudspeaker, D = 20 cm = 0.2 m . The wavelength of sound is ten times the speaker's diameter: = 10 D = 10 0.2 = 2 m The speed of sound is given as v = 340 m s ⁻¹ . Using the relation between speed, frequency, and wavelength, v = f , we get: f = v = 340 2 = 170 Hz

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