Question

Two strings are adjusted to vibrate at exactly 190 Hz . Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time.

What is the new frequency of the string that was tightened?

Answer 1

As the tension in a string is increased, the frequency of its vibrations also increases. So, the tightened string must be vibrating with a greater frequency than before.

Now, since the beat frequency is 3, the absolute difference in the two frequencies now must be 3.

So, the new frequency of the tightened string must be 3 more than the frequency of the other.

Thus, it's new frequency is 193 Hz.