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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

Determine the temperature at which the speed of sound is twice its value at 0^ C .

Options

  1. A819^ C
  2. B1092^ C
  3. C273^ C
  4. D546^ C

Correct answer

A. 819^ C

Step-by-step solution

The speed of sound in a gas is given by v = R T M , which implies v T , where T is the absolute temperature. Let v₁ be the speed at T₁ = 0^ C = 273 K and v₂ be the speed at temperature T₂ . Given v₂ = 2v₁ , we have: v₂ v₁ = T₂ T₁ = 2 T₂ T₁ = 4 T₂ = 4T₁ Substituting T₁ = 273 K : T₂ = 4 273 K = 1092 K Converting to Celsius: T₂ = 1092 - 273 = 819^ C

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