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JEE Main 202623 JanuaryEvening Shift

Exam: JEE Main
Year: 2026
Date: 23 January
Shift: Evening Shift
Subject: Physics
Chapter: Waves and Sound

JEE Main 2026 · 23 January · Evening Shift · Physics · Waves and Sound

The velocity of sound in air is doubled when the temperature is...

The velocity of sound in air is doubled when the temperature is raised from

0^{\circ} \mathrm{C}

to

\alpha^{\circ} \mathrm{C}

. The value of

\alpha

is

\_\_\_\_

.

Correct answer

0

Step-by-step solution

The velocity of sound in air depends on temperature as

v \propto \sqrt{T}

(absolute temperature).
If the velocity doubles:

\frac{v_2}{v_1} = 2 = \sqrt{\frac{T_2}{T_1}}

.
Squaring:

\frac{T_2}{T_1} = 4

.
With

T_1 = 0°C = 273.15

K and

T_2 = 273.15 + \alpha

K:

\frac{273.15 + \alpha}{273.15} = 4

, giving

273.15 + \alpha = 1092.6

K.
Therefore

\alpha = 819.45°C \approx 819°C

.

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