### What is the distance between nodes

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##### Reference no: EM13310588

A guitar string is fixed between two points, 53.0cm apart. Its linear density is 12.0g/m.

a) What must be the tension in the string if its fundamental frequency is 261Hz ?

b) Now suppose the string is vibrating in its third harmonic.

(i) What is the frequency?

(ii) What is the distance between nodes?

(iii) If the amplitude of vibration at the centre of an antinode is 4.0mm, write an equation describing y as a function of x and t for the standing wave.

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