Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

The temperature at which the speed of sound becomes double as was at $27^{\circ}\text{C}$ is: (1993)
$273^{\circ}\text{C}$
$0^{\circ}\text{C}$
$927^{\circ}\text{C}$
$1027^{\circ}\text{C}$

Solution Explained:

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

Since $v \propto \sqrt{T}$, to double the speed, temperature must be quadrupled. $T_1 = 273 + 27 = 300 \text{ K}$. $T_2 = 4 \times 300 = 1200 \text{ K}$, which is $1200 - 273 = 927^{\circ}\text{C}$.

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