What should be the tension applied to a wire of length 1 m and mass 1 gram, if it is to vibrate with a fundamental frequency of `50 Hz`?

At what tension a wire of length 1 m and mass 2 gram will be in resonance with frequency of 350 Hz .

Two wires of the same material and the same cross section are stretched on a sonometer in seccuession. Length of one wire is 60 cm and that of the other is 30 cm. An unknown load is applied to the first wire and second wire is loaded with 1.5 kg. if both the wires vibrate with the same fundamental frequencies, calculate the unknown load.

In law of tension , the fundamental frequency of vibrating string is

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 /cm^2 and fundamental frequency of vibration of wire is 300Hz , find its linear density.

If the tension and diameter of a sonometer wire of fundamental frequency n are doubled and density is halved then its fundamental frequency will become

A metal wire of diameter 1 mm is held on two knife edges separated by a distance of 50 cm. The tension in the wire is 100 N. The wire vibrates with its fundamental frequency and a vibrating tuning fork together produce 5 beat/s . The tension in the wire is then reduced to 81 N. When the two are excited , beats are heard at the same rate, then the frequency of the fork will be

Show that the fundamental frequency of vibrations of the air column in a tube open at both is equal to double the fundamental frequency in a tube of the same length and closed at one end.

Sonometer wire is kept under tension of 2kg wt . If resonating length of the wire is 18 cm in fundamental mode of vibration , find the frequency of vibration of the wire. (Linear density of the wire = 0.008 gram /cm, g = 9.8 m/s^2 )

A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7 xx 10^(3) kg//m^(3) and 2.2 xx 10^(11) N//m^(2) respectively ?