TS EAMCET · Physics · Waves and Sound
The speed of sound in air at temperature \(T\) and pressure \(p\) is \(v\). When the temperature is increased to \(2 T\) and the pressure is reduced to \(\frac{p}{2}\), then the speed is changed to
- A \(2 \mathrm{v}\)
- B \(v\)
- C \(\sqrt{2} v\)
- D \(\frac{v}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{2} v\)
Step-by-step Solution
Detailed explanation
Speed of sound in air does not depend on pressure, but directly proportional to the root of temperature, i.e. \[ v \propto \sqrt{T} \Rightarrow \frac{v_2}{v_1}=\sqrt{\frac{T_2}{T_1}} \] Given, \(T_1=T\) and \(T_2=2 T\),…
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