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

Assessment: JAMB UTME - Physics - 2005 Subject: Physics

Question 1 Report

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

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