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Two wires of same material and radii r and 2r respectively are welded together end to end. The combination is used as a sonometer wire and kept under tension T. the welded point is mid-way between the two bridges. When stationary waves are set up in the composite wire, the joint is a node. Then the ratio of the number of loops formed in the thinner to thicker wire is, (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 5 : 4

Two wires of same material and radii r and 2r respectively are welded together end to end. The combination is used as a sonometer wire and kept under tension T. the welded point is mid-way between the two bridges. When stationary waves are set up in the composite wire, the joint is a node. Then the ratio of the number of loops formed in the thinner to thicker wire is,

(a) 2 : 3

(b) 1 : 2

(c) 2 : 1

(d) 5 : 4

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
11 months ago
576-2135_2.PNG
Vikas TU
14149 Points
11 months ago
n1/2(l/2)sqrt(T/πr^2ρ)
n2/2(l/2)sqrt(T/π(4r^2)ρ)
⇒n1/n2=1/2................................................................................

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