Two identical violin strings, when i tune and stretched with the same tension, have a fundamental frequency of 440Hz. One of the strings is retuned by adjusting the tension. When both strings are pluckes simultaneously, after one has been retuned, 1.5 beats per second are heard.

Question

A) What are the possible fundamental frequencies of the retuned string?

B) By what fractional amount was the string tension changed if it was I)increased, ii)decreased

Answer 1

the possible frequencies are 440+-1.5 hz

Use the law of tensions,,,
frequency is proportinal to the square root of tension, or tension is prop to freq squared.