Q.

In the experiment for the determination of the speed of sound in air using the resonance column, it is observed that 0.1 m of air column resonates with a tuning fork in the fundamental mode. When the length of the air column is changed to 0.35 m, the same tuning fork resonates with the first overtone. What is the end correction ?

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a

0.0125 m

b

0.025 m

c

0.05 m

d

0.075 m

answer is B.

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Detailed Solution

v=v1 =14(L1 +e)γPρ                           (i)Let v be the frequency of the tuning fork and e the end correction. Given v=v1 =14(L1 +e)γPρ                                               (i)v=v3 =34(L2 +e)γPρ                                                             (ii)   Equating (i) and (ii), we get1L1 +e=3L2 +eOR     10.1+e=30.35+eWhich gives e = 0.025 m.  Hence the correct choice is (b).
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