The Fundamental Frequency Of A Longitudinal Vibrating Of A Rod Clamped At Its Centre Is 1500 Hz. If The Mass Of The Rod Is 96 G The Increase In Its Total Length Produced By A Stretching Force Of 10 Kg Weight Will Be:

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The fundamental frequency of a longitudinal vibrating of a rod clamped at its centre is 1500 Hz. If the mass of the rod is 96 g the increase in its total length produced by a stretching force of 10 kg weight will be:


Correct option is

0.011 cm


The wavelength of waves in the rod = 2l (l = length of rod).


Since the vibrations are longitudinal,


Since V = Al (where A is the area of c.s.)

If x is the increase in length produced by 10 kg weight, it follows:


from eq. (2) and (3),


Solving, we get x = 0.011 cm.




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