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Two wires of same material of radii 2r a...

Two wires of same material of radii 2r and r are welded together end to end The combination is used as a sonometer wire and is kept under tension T. The welded point lies midway between the bridges. What wil be the ratio of the number of loops formed in the wires, such that the joint is node when the stationary waves are set up in the wire?

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Knowledge Check

  • Two wires of radii r and 2 r are welded together end to end . The combination is used as a sonometer wire and is kept under a tension T . The welded point lies midway between the bridges. The ratio of the number of loops formed in the wires , such that the joint is a node when the stationary waves are set up in the wire is

    A
    `2//3`
    B
    `1//3`
    C
    `1//4`
    D
    `1//2`
  • One end of wires of the same metal and of same length (with radius, r and 2r ) are joined together. The wire is used as sonometer wire and the junction is placed in between two bridges. The tension T is applied to the wire. If at a junction a node is formed then the ratio of number of loops formed in the wires will be:

    A
    `1 : 2`
    B
    `2 : 3`
    C
    `3 : 4`
    D
    `4 : 5`
  • The ratio of cross-sectional areas of two conducting wires made up of same material and having same length is 1: 2. What will be the ratio of heat produced per second in the wires, when same current is flowing in them?

    A
    `1:4`
    B
    `2:1`
    C
    `1:sqrt2`
    D
    `1:1`
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