A guitar string is played together with a tuning fork whose frequency is 256 Hz,and beats of 2 Hz are heard.In such a case,if initially the tension in the string is 150 N,what must the new tension be,assuming the guitar string is initially higher in frequency than the tuning fork?
A) 148 N
B) 149 N
C) 151 N
D) 152 N
E) The length of the string must be given in order to solve this problem.

Question

Quizplus · Accepted Answer

The frequency of the string is initially 258 Hz (256 Hz + 2 Hz). To decrease the frequency to match the tuning fork, the tension must be decreased. Using the formula for frequency of a string, f ∝ √T, reducing the tension slightly to 148 N will lower the frequency to 256 Hz.

A Guitar String Is Played Together with a Tuning Fork