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PHYSICS

JAMB 2010 - Question 27

Physics 2010 JAMB Past Questions - Question 27: The velocity of sound in the air at 16°C is 340ms¹What will it be when the pressure is doubled and its temperature raised to 127°C?

Choose the correct answers from the options given.

The velocity of sound in the air at 16°C is 340ms¹What will it be when the pressure is doubled and its temperature raised to 127°C?

A: 4,000 ms¹

B: 160,000 ms¹

C: 8,000 ms¹

D: 400 ms¹

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Correct Answer

Explanation

The velocity of sound in air, V∝√T, where T is absolute temperature
Thus V = K√T or K = V/T
V is independent of pressure and density at a fixed temperature.
∴ V1/√T1 = V2/√T2
T1 = 16 + 273 = 289K, V1 = 340ms-1
T2 = 127 + 273 = 400K, V2 = ?

340 = V2
√289 √400

∴ V2 = 340√400
_√289

= 400m/s