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Most Important Selected Qs for JEE AdvancedPhysicsWaves and Sound

Two identical wires, one made of iron and the other of aluminum are stretched along - side on a sonometer board by equal stretching forces. [Density of iron =7.5 gm / cc , density aluminum =2.7 g / cc ] . The frequency of lowest harmonic for which both wires vibrate in unison, given that the length of the wires is 1 m , their diameters 1 mm and tension 75 is given as kHz . Find the value of 12 .

Correct answer

6

Step-by-step solution

(a) Given P_ F_c P_ A l = T _ Al T _ Fe = 7.5 2.7 = 5 3 Here fifth harmonic of F_s= third harmonic of A l wire. (b) Using P_ F t =5 ; f= 5 2 1 75 4 3.14 10⁻⁶ 7.5 10^3 =500 ~Hz

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