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Q.

When a vibrating tuning fork is placed on a sound box of a sonometer, 8 beats per second are heard when the length of the sonometer wire is kept at 101 cm or 100 cm. Then the frequency of the tuning fork is (consider that the tension in the wire is kept constant)

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a

1616 Hz

b

1608 Hz

c

1632 Hz

d

1600 Hz

answer is B.

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Detailed Solution

Let the frequency of fork is in :
Then n₁l₁ = n₂l₂ ; (n + 8)100 = (n–8)101,
n = 800 + 808 = 1608Hz

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When a vibrating tuning fork is placed on a sound box of a sonometer, 8 beats per second are heard when the length of the sonometer wire is kept at 101 cm or 100 cm. Then the frequency of the tuning fork is (consider that the tension in the wire is kept constant)