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

In a stretched string.

The frequencies of the harmonic of the string are

A middle C string on a piano has a fundamental frequency of 262 Hz , and the A note has fundamental frequency of 440 Hz . (a) Calculate the frequencies of the next two harmonics of the C string. (b) If the strings for the A and C notes are assumed to have the same mass per unit length and the same length, determine the ratio of tension in the two strings.

Middle C on a piano has a fundamental of 262 Hz , and the first A above middle C has a fundamental frequency of 440 Hz . a. Calculate the frequencies of the next two harmonics of the C string . b. If A and C , strings have the same linear mass density mu and length L , determine the ratio opf tensions in the two strings .

The frequency of the fourth harmonic in a stretched string of length 20 cm is 500 Hz. (i) Calculate the velocity of the wave in the string? (ii) For what value of tension, will the velocity in the string be 100 ms^(-1)?

(a) A string of length L is stretched between two rigid supports. It is plucked at the centre. What type of wave is formed in it? What is its frequency? (b) Obtain expressions for the frequency of higher harmonics of vibrations of a stretched string, (c) State the laws of vibrating string-

Write down the expression for the nth harmonic in (i) closed pipe (ii) an open pipe.

If v_(1) , v_(2) and v_(3) are the fundamental frequencies of three segments of stretched string , then the fundamental frequency of the overall string is

State two ways by which the frequency of a note given out by a stretched vibrating string can be increased.

Draw a diagram to show the various modes of vibration of a stretched string.