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Q.

The ratio of densities of nitrogen and oxygen is 14:16. The temperature at which the speed of sound in nitrogen will be same at that in oxygen at 55^oC is

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a

65°C

b

48°C

c

35°C

d

14°C

answer is D.

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Detailed Solution

$v = \sqrt{\frac{γ RT}{M}} \Rightarrow \frac{T_{N}}{T_{0}} = \frac{M_{N}}{M_{0}} \Rightarrow \frac{T_{N}}{273 + 55} = \frac{14}{16} = \frac{7}{8}$

$\Rightarrow T_{N} = 287 K = 14 ° C$

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