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Question

Question: At what temperature velocity of sound is double than that of at 0°C...

At what temperature velocity of sound is double than that of at 0°C

A

819 K

B

819°C

C

600°C

D

600 K

Answer

819°C

Explanation

Solution

vTv \propto \sqrt{T}v2v1=T2T1\frac{v_{2}}{v_{1}} = \sqrt{\frac{T_{2}}{T_{1}}}2=T2(273+0)2 = \sqrt{\frac{T_{2}}{(273 + 0)}}

\Rightarrow T2=273×4=1092K=819oCT_{2} = 273 \times 4 = 1092K = 819^{o}C