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Questions  

Beats are produced by two waves given by y1=asin2000πt  and y2=asin2008πt. The number of beats heard per second is

a
Zero
b
One
c
Four
d
Eight

detailed solution

Correct option is C

Number of beats per second = n1~n2ω1=2000π=2πn1⇒ n1 = 1000and ω2=2008π=2πn2⇒ n2 = 1004Number of beats heard per sec =1004−1000=4

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A metal wire of diameter 1.5 mm is held on two knife edges separated by a distance 50 cm the tension in the wire is 100 N the wire vibrating with its fundamental frequency and vibrating tuning fork together produces 5 beats per second. The tension in the wire is then reduced to 81 N, when the two are excited, beats are heard at the same rate. Calculate frequency of the fork.


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