A sonometer wire 36 cm long vibrates with a fundamental frequency of `280Hz` , when it is under tension of `24.5 N`. Calculate mass per unit length of wire.

A stretched wire 60 cm long emits a fundamental frequency of 240Hz . By how much the length should be shortened so that it emits a fundamental note of 360 Hz ?

Length of 0.3 m wire vibrates in fundamental mode at frequency 480 Hz. The velocity of sound wave in air is

Two wires of the same material and same cross section are stretched on a sonometer. One wire is loaded with 1.5 kg and another is loaded with 6 kg. The vibrating length of first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate vibrating length of the other wire.

Two identical piano wires have fundemental frequency of 600 Hz , when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of six beats per second when both wires vibrate simuitaneously?

A sonometer wire of length L_1 vibrates with a frequency 250 Hz. If the length of wire is in creased then 2 beats per second are heard. What is ration of the lengths of the wire?

Two identical wires have the same fundamental frequency of 400 Hz . when kept under the same tension. If the tension in one wire is increased by 2% the number of beats produced will be

A string on a musical instrument is 50 cm long and its fundamental frequency is 270 Hz. If the desired frequency of 1000 Hz, is to be produced, the required length of the string is

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.