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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
A source of frequency $f$ is emitting sound waves. If temperature of the medium increases, then
  • ✓
    wavelength of the sound wave increases
  • B
    speed of the sound wave decreases
  • C
    wavelength of the sound wave decreases
  • D
    amplitude of the sound wave increases
✓

Answer

Correct option: A.
wavelength of the sound wave increases
a
(a)

Velocity of sound in an isentropic gascous medium is given by

$v=\sqrt{\frac{\gamma R T}{M}} \Rightarrow v \propto \sqrt{T}$

Also, $\quad v=f \lambda \Rightarrow \lambda \propto \sqrt{ T }$

Because frequency is a characteristics of source and it remains constant with change in temperature of medium.

So, correct option is $(a)$.

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