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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Sound Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves

Sound is primarily transmitted in the forward direction when its...

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 cm20 \text{ cm}. Assume the speed of sound is 340 m s−1340 \text{ m s}^{-1}.

Options

  1. A3.4 kHz3.4 \text{ kHz}
  2. B1.7 kHz1.7 \text{ kHz}
  3. C170 kHz170 \text{ kHz}
  4. D17 kHz17 \text{ kHz}

Correct answer

D. 17 kHz17 \text{ kHz}

Step-by-step solution

Given diameter of the loudspeaker, D=20 cm=0.2 mD = 20 \text{ cm} = 0.2 \text{ m}

Wavelength of the sound, λ=D10=0.02 m\lambda = \dfrac{D}{10} = 0.02 \text{ m}

Speed of sound, v=340 m s−1v = 340 \text{ m s}^{-1}

Using the relation v=fλv = f \lambda, the frequency ff is given by:

f=vλf = \dfrac{v}{\lambda}

f=3400.02=17000 Hzf = \dfrac{340}{0.02} = 17000 \text{ Hz}

f=17 kHzf = 17 \text{ kHz}
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