JEE Mains · Physics · STD 11 - 14. waves and sound
The velocity of sound in air is doubled when the temperature is raised from \(0^{\circ} C\) to \(\alpha^{\circ} C\). The value of \(\alpha\) is ________.
- A 546
- B 273
- C 819
- D 1092
Answer & Solution
Correct Answer
(C) 819
Step-by-step Solution
Detailed explanation
\(V =\sqrt{\frac{\gamma RT }{ M }}\) \(\frac{V_1}{V_2}=\frac{\sqrt{T_1}}{\sqrt{T_2}}\) \(\frac{ V _0}{2 V_0}=\sqrt{\frac{273}{T_2}}\) \(\frac{1}{4}=\frac{273}{T_2}\) \(T _2=4 \times 273=\alpha+273\) \(\alpha=3 \times 273\) \(\alpha=819^{\circ} C\)
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