The time period of a vibrating body is 0.1 s. Find its frequency.

A metallic wire with tension T and at temperature 30^(@)C vibrates with its fundamental frequency of 1 kHz . The same wire with the same tension but at 10^(@)C temperature vibrates with a fundamental frequency of 1.001 kHz . The coefficient of linear expansion of the wire is equal to 10^(-K) .^(@)C . Find 2K .

A string vibrates with a frequency of 200Hz. Its length iss doubled and its tension is altered till it begins to vibrate with a frequency of 300Hz. What is the ratio of new tension to the original tension ?

One end of a steel wire is attached to a fixed support and the other end is attached to a string, which is going over a pulley and is connected to a block, whch is hanging vertically. It is observed that the wire vibrates in its fundamental mode with frequency of 200 Hz. When the block is submerged in water, the same wire vibrates in its 1 harmonic with frequency of 100 Hz. Density of steel wire is 8000 kg//m^(3) and length of wire is 1 m.

A stretched wire under a tension of 4 kg wt is in unison with a tuning fork of frequency 512 Hz. How should the tension be altered to make the wire vibrate in unison with a tuning fork of frequency 256 Hz ?

Tension applied to a wire of length 1m and its mass 1g, if it is to vibrate with the fundamental frequency of 50 Hz, will be

A sonometer is set on the floor of a lift. When the lift is at rest, the sonometer wire vibrates with fundamental frequency 256 Hz. When the lift goes up with acceleration a =(9g)/(16) , the frequency of vibration of the same wire changes to