﻿ Two identical strings of a stringed  musical instrument are in unison when stretched with the same tension. When the tension in one string is increased by 1%, the musician hears 4 beats per second. What was the frequency of the note when the string were in unison? : Kaysons Education

# Two Identical Strings Of A Stringed  musical Instrument Are In Unison When Stretched With The Same Tension. When The Tension In One String Is Increased By 1%, The Musician Hears 4 Beats Per Second. What Was The Frequency Of The Note When The String Were In Unison?

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## Question

### Solution

Correct option is

800 Hz

Let T1 be the tension in each strings which  such that

Expanding binomially, we have  Thus

Also,             v2 – v1 = 4           or      v2 = v1 + 4. Therefore,

We have

Which gives v1 = 800 Hz.

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