The velocity of sound in air will be double..

Question 1 Report

The velocity of sound in air will be doubled if it's absolute temperature is

Quadrupled

Constant

Halved

Doulbed

Answer Details

In general, the velocity of sound in air varies directly as the square root of temperature measured in kelvin.

That V $\propto \sqrt{T} ⟹ V^{2} \propto T . Therefore \frac{V_{1}^{2}}{T_{1}} = \frac{V_{2}^{2}}{T_{2}} Thus Let V_{1} = 4 m / s T_{1} = 10 K Therefore V_{2} = 2 V_{1} = 8 m / s ⟹ \frac{4^{2}}{10} = \frac{8^{2}}{T_{2}} T_{2} = \frac{64 \times 10}{16} = 40 K T_{2} = 4 T_{1}$

Thus when the velocity of sound in air is doubled, it's absolute temperature will be quadrupled.

Read lesson note on Temperature And Its Measurement (JAMB)

Temperature And Its Measurement

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