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MHT CET 2021 (23 Sep, Shift 2) · Speed of Waves

Speed of Waves question from MHT CET 2021 (23 Sep, Shift 2)

Q25MHT CET 2021 · 23 SEP · SHIFT 2Easy

Speed of Waves

What is the effect of pressure on the speed of sound in a medium, if pressure is doubled at constant temperature?

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Answer: (a)

$v = \sqrt{\gamma P/\rho}$ ; at constant $T$ , $P \propto \rho$ (Boyle's law), so $P/\rho$ stays constant.
Equivalently $v = \sqrt{\gamma RT/M}$ does not depend on $P$ .
So the answer is (a) Remains same.

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