Question

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.

Answer 1

a) increase

Step-by-step 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.