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"EXPERIMENT NO. 5 _, SONOMETER - LAW OF TENSION, , i ‘ i i cy., Aim: To study the relation between the length of a given wire and tension for constant aa =, mu, , Apparatus : Sonometer, slotted weights with hanger, a turning fork of known frequency,, pad, light paper rider, meter scale., , — i, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , BL! i, i Bai, < _e, H® _. HO, Wooden box with holes H-H —, Slotted weights (N:Node, A:Antinode), on hanger, (a) sonometer (b) vibrating wire, Formula:, -L jf, 2€V im, n = frequency of vibrations of the wire., T = tension applied to the wire., m 7 mass per unit length of the wire, £ vibrating length of the wire, T = 4n°fm, i.e. Ta €? when nand m are kept constant, Theory:, , The frequency of statinary transverse vibrations of a stretched string is directly proportional, to the square root of the tension in the wire, when lengh of vibrating string and mass per unit, length of the wire are kept constant., , on aT ot F = constant, JT, , for verification taVT or “4 =constant, e, , Procedure :, , Apply a weight of about 0.5 kg (500 gm) including hanger to the sonometer., , Place a light paper rider on the wire midway between the knife edges., , Strike the given tuning fork on rubber pad gently and set it into vibrations., , Put the stem of vibrating tuning fork gently on the sonometer box., , Slowly change the distance between knife edges and adjust distance between them so that, , the paper rider falls off., , a —E—E=E ss i —, , vee Ne, , scanned with Vamscann

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Result :, , T . ' ' ., 1. As — = constant, when n and m are kept constant. The law of tension is verified., £, , 2. The graph of ¢? apis Tis straight line“. Taé? Hence law of tension is verified., 4. Unknown mass byes =, GaO x 3, Precautions : TEN S10, 1. Wire should be free form kinks and of uniform cross scation., Keep the paper rider at the mid point of knife-cdges., , The stem of tuning fork should rest on the sonometer box., Strike the tuning fork on the rubber pad gently., , 1. State the second law of vibrating string., , ch Bo dyg7) 2, ae ye, , Pep, , , , 2. Why do we keep frequency constant instead of keeping vibrating length constant to verify, second law of vibrating string?, , , , 3. How many ‘ites and antinodes are formed when the wire vibrates in fundamental mode?, , , , , , , , scanned with Lamscann