A string of guitar 1.3 m long vibrates with 4 nodes 2 of them at the ends. Find the wavelength and speed of the wave in the string if it vibrates at 500 Hz.

Solution

Given data

Number of nodes = 4 and therefore, umber of loops = 3

Length of the string = L = 1.3 m Frequency = f_{3} = 500 Hz

Required

Wavelength = λ_{3} =? Speed of the wave = v =?

Formula

To solve the equation for third harmonic,

To find the velocity of the wave, use the second formula

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