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If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is

Answer»

204.8 CM/sec
102.4 cm/sec
51.2 cm/sec
161.3 cm/sec

Solution :First resonance, `30.7 = LAMBDA/4 + C`...........(i)
2nd resonance, `63.2 = (3lambda)/4 + C`.........(ii)
Substracting (i) from (ii), we GET
`63.2 - 30.7 = lambda/2` or `lambda = (65.0 +- 0.1)` cm.
Maximum error in measurnment of length using metric SCALE would be 1 mm.
`v = lambdav =(65.0 +- 0.1) xx 512 `cm/sec.
`=33280 +- 51.2` cm/sec
Hence, maximum error in velocity `= 51.2` cm/sec.


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