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
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a
210.5 and 20S.5 Hz
b
220'5and219'5Hz
c
23o.5and 229'sH
d
250'5and249'5Hz
answer is D.
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Detailed Solution
Length of two parts are l1=49â 9cm and l2=50â 1cm n1n2=l2l1=50â 149â 9=501499 n1=(501/499)n2 and n1ân2=1 501499n2ân2=1 2n2499=1 or n2=4992=249â 5 Hz â´ n1=n2+1=250â 5 Hz
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