What are the frequencies heard when a stretched wire is plucked in the middle ?

Energy of a stretched wire is

A steel wire is heated to 170^(@)C and held between two rigid supports which are 20cm apart. The wire is allowed to cool to a temperature of 29.6^(@)C . If the frequency of the note produced when the wire is plucked at the middle is 100 k , then find the value of k . (The density D of steel is 7.8xx10^(3)kg//m^(3) and for steel alpha=16xx10^(-6)K^(-1) and Y of steel =20xx10^(10)Pa .).

If a stretched string is plucked at the centre

The stored energy per unit volume of a stretched wire is

When a wire is stretched to double its length, then

The elastic potential energy of a stretched wire is given by

Write down the frequency of the nth harmonic of a stretched string.

How is the frequency of a stretched string related to: Its tension?

The fundamental frequency of a wire of certain length is 400 Hz. When the length of the wire is decreased by 10 cm, without changing the tension in the wire, the frequency becomes 500 Hz. What was the original length of the wire ?

Sitting in newly launched gatiman express frequency of a stationary sound source is heard as f when it is approaching towards the source. What is the approximate speed of gatiman express if frequency heard when receding is 2f//3 ? (take speed of sound in air as 320m//s )