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If the speed of sound is changed by 1 percent how much must the temperature of air near 0 degrees Celsius be changed? Please explain the solution
Asked by Supersanny18 | 18 Dec, 2019, 09:41: PM
answered-by-expert Expert Answer
speed of sound v = vo [( T+273)/273]1/2  ..................(1)
 
where vo is speed of sound at 0o C and T is temperature in oC
 
Eqn. (1) can be written as , v = vo [ 1 + (T/546) ]   if (T/273) << 1
 
using speed of sound value, vo = 330 m/s , above eqn. is written as ,  v = vo + 0.604 T  ....................(2)
 
from eqn.(2), we get,  d(v-vo) = 0.604 dT
 
Hence if change in speed of sound is 1% , change in temperature is 0.6 %
Answered by Thiyagarajan K | 19 Dec, 2019, 08:50: AM

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