Laws of Transverse Vibrations of Stretched Strings - QS Study
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The laws of transverse vibrations of stretched strings are (i) the law of length (ii) law of tension and (iii) the law of mass.

(i) For a given wire (m is constant), when T is constant, the fundamental frequency of vibration is inversely proportional to the vibrating length,

n ∞ 1/L or nl = constant.

(ii) For constant l and m, the fundamental frequency is directly proportional to the square root of the tension (i.e) n ∞ √T.

(iii) For constant l and T, the fundamental frequency varies inversely as the square root of the mass per unit length of the wire (i.e) n ∞ √T.