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Vibration OF string

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Vibrations of string fixed at one end

Standing Wave Vibrations of string fixed at both ends

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The frequency (n) of vibration of a string is given as n = (1)/( 2 l) sqrt((T)/(m)) , where T is tension and l is the length of vibrating string , then the dimensional formula is

Assertion : In the nth normal mode of vibration of a string, there are (n+1) nodes and n antinodes. Reason : This is because both the ends of the string are fixed and from nodes.

The equation for the vibration of a string fixed at both ends vibrating in its second harmonic is given by y=2sin(0.3cm^(-1))xcos((500pis^(-1))t)cm . The length of the string is :

The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by y=2cm sin[(0.6cm^-1)x]cos[(500pis^-1)t] . The length of the string is

The lowest frequency of the vibrating string is