Speed of sound and temperature – Rankers Physics

Sound Wave and its Characteristics: Practice Problem & Solution

If speed of sound in air at 27°C is v then at what temperature speed of sound becomes 2v?
1200°C
927 K
52°C
927°C

Solution Explained:

To solve this problem, we apply the core principles of Sound Wave and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

Since speed \(v \propto \sqrt{T}\), to double the speed, the temperature in Kelvin must quadruple: \(T_2 = 4 \times (27 + 273) = 1200\text{ K}\) or \(927^\circ\text{C}\).

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. The frequency of sinusoidal wave $y = 0.40 \cos[2000t + 0.80]$ would be: (1992)
2. A transverse wave is represented by $y = A\sin(\omega t - kx)$. For what value of the wavelength is the wave velocity equal to the maximum particle velocity? (2010 Pre)
3. A steel wire \(0.50\text{ m}\) long has a mass of \(4.0 \times 10^{-3}\text{ kg}\). If the wire is under a tension of \(80\text{ N}\), the speed of transverse waves on the wire is
4. Assertion (A): Wave velocity is equal to group velocity in a non-dispersive medium. Reason (R): A non-dispersive medium is one in which the wave velocity is frequency dependent.  
5. Assertion (A): With increase in temperature, the speed of sound in a gas increases. Reason (R): When temperature increases, the gas molecules move faster.