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.

In a stretched wire under tension and fixed at both ends, the area of cross section of the wire is halved and the tension is doubled. The frequency of the wire will be

A sonometer wire of length 0.5 m is stretched by a weight of 5 kg. The fundamental frequency of vibration is 100 Hz . Determine the linear density of material of wire.

A sonometer wire of length 50 cm is stretched by keeping weights equivalent of 3.5 kg. The fundamental frequency of vibration is 125 Hz . Determine the linear density of the wire ?

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 ?

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 under certain tension is in unison with a tuning fork. When only the tension in the wire is increased by 2 % , 3 beats per second are produces.Find the frequency of fork.

An open organ pipe produces its fundamdental frequency f. When the pipe is dipped in water so that (2)/(5) of its length is under water, then its fundamental frequency becomes

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