In an experiment with sonometer a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. Tension of the string remaining constant the frequency of the second tuning fork is
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a
163.84 Hz
b
400 Hz
c
320 Hz
d
204.8 Hz
answer is B.
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Detailed Solution
In case of sonometer frequency is given byn=p2lTm⇒n2n1=l1l2⇒n2=2516×256=400 Hz