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Discuss the law of transverse vibration in stretched strings. |
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Answer» Solution :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 `mu` (fixed) the frequency varies inversely with the vibrating length. Therefore, `f propto 1/l (II) The law of tension: For a given vibrating length l (fixed) and mass pre unit length `mu` (fixed) the frequency varies directly with the square root of the tension T. `f propto sqrt(T)` `rArr f =A sqrt(T)`, where A is a constant. (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 `mu`, `f propto 1/sqrt(mu)` `rArr f= B/sqrt(mu)`, where B is a constant. |
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