The fundamental frequency of vibration of a stretched string is 200Hz . Find the frequency of the vibration if the tension increases four times and length is reduced to one fourth the original values

Explain law of tension dependence of frequency of vibration of stretched string ?

In an experiment it is observed that the frequency of a vibrating string depends on length the tension and the mass per unit length . Find out a relation for the frequency from dimensional analysis.

Find out the relation between the frequencies of different modes of a vibrating string.

Does increasing the tension in a vibrating string increase the number of nodes? Does it increase frequency?

A bar magnet is vibrating in uniform magnetic field of induction B about transverse axis passing though its centre. When the value of B is reduced by 3xx10^-5 Wb/m^2 , the period of the vibrating magnet gets doubled. What is the original value of B ?