Question

2 strings both vibrate at exactly 220 Hz. The tension in one of them is then decreased sightly. As a result, 3 beats per second are heard when both strings vibrate. What is the new frequency. A. 217 Hz B. 220 Hz
C. 223 Hz
D. 440 Hz

Answer 1

Explanation:

Given that,

2 strings both vibrate at exactly 220 Hz. The frequency of sound wave depends on the tension in the strings.

The tension in one of them is then decreased sightly, then $f_2$ will decrese.

Beat frequency, $f=f_1-f_2$

$3=220-f_2$

$f_2=217\ Hz$

So, the new frequency of the string is 217 Hz. Hence, this is the required solution.