1. a 6-cm-long guitar string is tuned to produce the note b3 (fundamental frequency 245 hz). if the tension of the string is increase by 1%, what will be the change of the fundamental frequency of the string? a) 3.65hz b) 4.85 hz c) 2.44 hz d) 1.22 hz e) 5.34hz

Change in the fundamental frequency of the string is 1.22 Hz.

Explanation:

It is given that,

Length of string, l = 6 cm = 0.06 m

Fundamental frequency of the string, f = 245 Hz

If the tension of the string is increase by 1%, we need to find the fundamental frequency of the string. It is given by :

.............(1)

Where

T is the tension in the string

is mass per unit length

It is clear from equation (1) that the fundamental frequency is directly proportional to the tension in the string i.e.

New tension, T' = 1.01 T

New frequency,

f' = 246.22 Hz

So, change in the fundamental frequency is given by :

So, the change of the fundamental frequency of the string is 1.22 Hz. Hence, this is the required solution.

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