A musician playing a string instrument may use a finger to push a string tightly against the fingerboard of her instrument, thus shortening the length of the string. This causes the fundamental frequency to (a) increase, (b) decrease, (c) not change.

Question

Paola Vargas

Physics

4 September, 11:45

A musician playing a string instrument may use a finger to push a string tightly against the fingerboard of her instrument, thus shortening the length of the string. This causes the fundamental frequency to (a) increase, (b) decrease, (c) not change.

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Answers (1)

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Smirk · Answer 1

a) increase

Explanation:

The frequency of sound produced due to vibration of a string is governed by the following formula

n = 1/2L√T/m;

L is length of the string in vibration, T is tension in the string and m is mass of string per unit length.

So frequency is inversely proportional to length of the string. Hence shortning of length of string increases the frequency of vibration.