JEE Main202623 January 2026Evening ShiftPhysicsWaves and SoundActual

The velocity of sound in air is doubled when the temperature is raised from 0^ C to ^ C . The value of is _ _ _ _ .

Correct answer

Step-by-step solution

The velocity of sound in air depends on temperature as v T (absolute temperature). If the velocity doubles: v₂ v₁ = 2 = T₂ T₁ . Squaring: T₂ T₁ = 4 . With T₁ = 0°C = 273.15 K and T₂ = 273.15 + K: 273.15 + 273.15 = 4 , giving 273.15 + = 1092.6 K. Therefore = 819.45°C 819°C .

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