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Discuss the laws of transverse vibration in stretched strings. |
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Answer» Solution :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 `mu` (fixed) the frequency varies inversely with the vibrating length. Therefore, `f prop (1)/(L) IMPLIES f = (C)/(l)` `implies "" l xx f = C ` where C is a constant The law of tension: For a given vibrating length l (fixed) and mass per unit length `mu`(fixed) the frequency varies directly with the square root of the tension T, `f prop sqrtT` `implies "" f = A sqrtT` , where A is constant (iii)The law of mass: For a given vibrating length/ (fixed) and tension T (fixed) the frequency varies inversely with the square root of the mass per unit length `mu` , `f prop (1)/(sqrtmu)` `implies "" f = (B)/(sqrtmu)` , where B is a constant |
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