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 Two parts  of a sonometer wire divided by a movable bridge differ in length by o ' 2 cm and produce one beat per second, when sounded together. The total lengths of wire is one metre, then the frequencies are

a
210.5 and 20S.5 Hz
b
220'5and219'5Hz
c
23o.5and 229'sH
d
250'5and249'5Hz

detailed solution

Correct option is D

Length of two parts are l1=49⋅9cm and l2=50⋅1cm n1n2=l2l1=50⋅149⋅9=501499 n1=(501/499)n2  and  n1−n2=1 501499n2−n2=1 2n2499=1  or  n2=4992=249⋅5 Hz âˆ´ n1=n2+1=250⋅5 Hz

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