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Q.

A pipe of length 1.5m closed at one end is filled with a gas and it resonates in its fundamental with a tuning fork. Another pipe of the same length but open at both ends is filled with air and it also resonates in its fundamental with the same tuning fork. Calculate the velocity of sound at  00C in the gas .Gives that the velocity of sound in air is 360 m/s at 300C where the experiment is performed.................(given that 273303=0.95)

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answer is 684.

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Detailed Solution

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Let VG,VA are velocities of sound in gas and air respectively.If “f” is the frequency of tuning fork then according to given problem at 300C

f=fc  and  f=f0, fc=f0   (or)VG4L=VA2L

i.e,VG=2VA=2×360=720m/S

Now as in case of sound  VT

(VG)0=(VG)T273303

VG0=684 m/s

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