Question

How to find the unknown frequency of a tuning fork by sonometer?

Answer 1

Sonometer to find the frequency of a tuning fork

Explanation:

To measure the frequency of a tuning fork by using a sonometer

In order to measure the frequency of a tuning fork using a sonometer, we need to first tune the sonometer in unison with a standard fork of known frequency, and the length of the wire is noted.

Keeping the tension constant, the sonometer is then tuned in unison with the unknown tuning fork by altering the length only.

Suppose the frequencies, in Hz, of the standard and the unknown forks are 320 Hz and f Hz, respectively, and the corresponding wire lengths for unison are 82 cm and 61.5 cm respectively, at constant tension, we get:

frequency * length = constant for both cases.

So f1 * L1 = constant = f2 * L2

To find the unknown frequency f1, we substitute f * 61.5 = 320 * 82

f = 320 * 82 / 61.5 = 426 Hz.

Answer 2

How to find unknown sonometer