The velocity of sound in air is doubled when the temperature is raised from 0 ° C t o C . The value of is _ _ _ _ _ _ . [2026]

Question

The velocity of sound in air is doubled when the temperature is raised from $0 ° C to α ° C$ . The value of $α is ______.$ [2026]

Smart Achievers · Accepted Answer

(819)

$V = \sqrt{\frac{γ R T}{M}}$

$\frac{V_{1}}{V_{2}} = \sqrt{\frac{T_{1}}{T_{2}}}$

$\frac{V_{0}}{2 V_{0}} = \sqrt{\frac{273}{T_{2}}}$

$\frac{1}{4} = \frac{273}{T_{2}}$

$T_{2} = 4 \times 273 = α + 273$

$α = 3 \times 273$

$α = 819 ° C$

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