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AP EAMCET · PHYSICS · Waves and Sound

At what temperature does the velocity of sound in air increased by 10% comparison with velocity at \(0^{\circ} \mathrm{C}\) ?

  1. A \(45^{\circ} \mathrm{C}\)
  2. B \(57^{\circ} \mathrm{C}\)
  3. C \(27^{\circ} \mathrm{C}\)
  4. D \(18^{\circ} \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(57^{\circ} \mathrm{C}\)

Step-by-step Solution

Detailed explanation

Speed of sound in air is directly proportional to the square root of temperature. i.e. \[ v_1 \propto \sqrt{T_1} ...(i) \] \(v_2 \propto \sqrt{T_2}\)...(ii) Now, \(\quad \frac{v_1}{v_2}=\sqrt{\frac{T_1}{T_2}}\) At \(0^{\circ} \mathrm{C}, T_1=273 \mathrm{~K}\) Increase in…
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