Question

State the laws of vibrating string.What is end correction in the vibrations of aircolumn in a pipe?​

Answer 1

Answer:

he fundamental frequency of vibration of a stretched string or wire is given by

n=12LTm−−−√ where L is the vibrating length, m the mass per unit length of the string and T the tension in the string. From the above expression, we can state the following three laws of vibrating strings :

(1) Law of length : The fundamental frequency of vibrations of a stretched string is invessely proportional to its vibrating length, if the tension and mass per unit length are kept constant.

(2) Law of tension : The fundamental frequency of vibrations of a stretched string is directly proportional to the square root of the applied tension, if the length and mass per unit length are kept constant.

(3) Law of mass : The fundamental frequency of vibrations of a stretched is inversely proportional to the square root of its mass per unit length, if the length and tension are kept constant.