Question

A uniform wire under tension, is fixed at its ends. If the ratio of tension in the wire to the square of its length is 360 dyne/cm² and fundamental frequency of vibration of wire is 300 Hz. find its linear density

Answer 1

given :

T / l² = 360 dyne/cm²

n = 300 Hz

n = 1/2l [√ T / M]

n ² =[ 1/4l² ] [T/ M]

M=1/4n² [T/l²)

M=[1/4x(300)²] x [360/1)

M=90/90000

M=10⁻³ g/cm

M=10⁻⁴kg/m

Answer 2

100 Hz. Determine the linear density of .... uniform metal wire, when it is under a tension of 1000 g wt. is 68 m/s. If the density ... of vibration of wire is 300 Hz. Find its ... 360 dyne ...