Question

State the ways by which the frequency of transverse vibrations of a stretch string can be increased

Answer 1

The frequency of transverse vibration is given by

f = `1/(2l) sqrt(T/(pir^2d))`

or `f = 1/(2l) sqrt(T/m)`

where l = length of the vibrating string

T = tension in the string

m = mass per unit length of the string

Therefore, the frequency of transverse vibration of a stretched string can be increased by

1) decreasing the length of the string

2) decreasing the radius of the string

3) increasing the tension T in the string