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AP EAMCET202125 Aug 2021Evening ShiftPhysicsWaves and SoundActual

At what temperature does the velocity of sound in air increased by 10% comparison with velocity at 0^ C ?

Options

  1. A45^ C
  2. B57^ C
  3. C27^ C
  4. D18^ C

Correct answer

B. 57^ C

Step-by-step solution

Speed of sound in air is directly proportional to the square root of temperature. i.e. v₁ T₁ ...(i) v₂ T₂ ...(ii) Now, v₁ v₂ = T₁ T₂ At 0^ C , T₁=273 ~K Increase in velocity =10 % i.e., v₂= 11 10 v₁ array rlrl & Hence, & v₁ 11 10 v₁ & = 273 T₂ & 10 11 & = 273 T₂ 100 121 = 273 T₂ & & T₂ & = 273 121 100 & & =330.33 ~K =57.33^ C 57^ C array

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