Question

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.

• A. $163.84$Hz
• B. $400$Hz
• C. $320$Hz
• D. $204.8$Hz

Answer 1

The correct option is B $400$Hz

since wavelength of the sound wave will be proportional to the length of the wire and the product of wavelength and frequency is velocity of sound which is constant here so we can compare this product , so

$256\times 25=16\times f$

$f=400$

so frequency of second tuning fork is 400 Hz.

so the answer is B.