Q.

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
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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