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At 23^(@)C, a pipe open at both ends res...

At `23^(@)C`, a pipe open at both ends resonates at a frequency of 450 hertz. At what frequency does the same pipe resonate on a hot day when the speed of sound is 4 percent higher than it would be at `23^(@)C` ?

A

446 Hz

B

454 Hz

C

468 Hz

D

459 Hz

Text Solution

Verified by Experts

The correct Answer is:
C
`f_(lambda)=vimpliesfpropvimplies(f_(1))/(f_(2))=(v_(1))/(v_(2))implies(450)/(f_(2))=(v_(1))/(1.04v_(1))`
`implies f_(2)=1.04xx450=468Hz`.
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