The velocity of sound in air is doubled when the temperature is raised from 0 to α. The value of α is ______. Numerical answer type. Work it out, then open the answer.

Answer: 819. v ∝ √(T), so doubling v needs T' = 4 × 273 = 1092 K. α = 1092 - 273 = 819 Answer: 819° C.

The velocity of sound in air is doubled when the temperature is… | JEE Main 2026 (23 Jan, Shift 2)

Q4JEE Main 2026 · 23 JAN · SHIFT 2Easy

Speed of Waves

The velocity of sound in air is doubled when the temperature is raised from $0^\circ\text{C}$ to $\alpha^\circ\text{C}$ . The value of $\alpha$ is ______.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 819

$v \propto \sqrt{T}$ , so doubling $v$ needs $T' = 4 \times 273 = 1092$ K.
$\alpha = 1092 - 273 = 819$
Answer: $819^\circ$ C.

Report a mistake

More questions on Speed of Waves

A string of length 0.5 m and mass 10⁻³ kg is tightly clamped at its ends. The tension in…MHT CET 2026 (11 Apr, Shift 1)
Two monoatomic ideal gases '1' and '2' of molecular masses m₁ and m₂ respectively are…MHT CET 2026 (20 Apr, Shift 2)
The ratio of the speed of sound in helium gas to that in nitrogen gas at 295 K is ( Ratio…MHT CET 2026 (20 Apr, Shift 1)
The enclosed air inside a closed box of rigid walls has pressure P₁. The density of air…MHT CET 2026 (17 Apr, Shift 1)
Two strings (A, B) having linear densities μA = 2 × 10⁻⁴ kg/m and, μB = 4 × 10⁻⁴ kg/m and…JEE Main 2026 (21 Jan, Shift 1)
A uniform rope of mass 0.1 kg and length 2.5 m hangs from ceiling. The speed of…MHT CET 2026 (14 May, Shift 2)
Two strings with circular cross section and made of same material, are stretched to have…JEE Main 2025 (8 Apr, Shift 2)
Given below are two statements: one is labelled as Assertion A and the other is labelled…JEE Main 2025 (28 Jan, Shift 1)

Speed of Waves question from JEE Main 2026 (23 Jan, Shift 2)

More questions on Speed of Waves