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Q.

If a tuning fork of frequency (f0) 340 Hz tolerance ±1% is used in resonance column method. The first and the second resonance are measured at l1 = 24.0 cm and l2 = 74.0 cm. The maximum permissible error in speed of sound is:

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a

1.2 %

b

1.8 %

c

1 %

d

0.8 %

answer is A.

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Detailed Solution

v=2f0I2−I1Δvvmax=Δf0f0+Δl2+Δl1I2−I1=1100+0.1+0.174−24=1.2%
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If a tuning fork of frequency (f0) 340 Hz tolerance ±1% is used in resonance column method. The first and the second resonance are measured at l1 = 24.0 cm and l2 = 74.0 cm. The maximum permissible error in speed of sound is: