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Chapter: 11th Physics : Waves

Laws of transverse vibrations in stretched strings

There are three laws of transverse vibrations of stretched strings which are given as follows:

Laws of transverse vibrations in stretched strings

 

There are three laws of transverse vibrations of stretched strings which are given as follows:

 

(i)   The law of length :

For a given wire with tension T (which is fixed) and mass per unit length μ (fixed) the frequency varies inversely with the vibrating length. Therefore,


l×f = C, where C is a constant

 

(ii)   The law of tension:

For a given vibrating length l (fixed) and mass per unit length μ (fixed) the frequency varies directly with the square root of the tension T,


 

(iii) The law of mass:

For a given vibrating length l (fixed) and tension T (fixed) the frequency varies inversely with the square root of the mass per unit length μ,


 

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