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Two wires A and B are of the same material. Their lengths are in the ratio 1 : 2 and the diameter are in the ratio 2 : 1. If they are pulled by the same force, then increase in length will be in the ratio

A

`2:1`

B

`1:4`

C

`1:8`

D

`8:1`

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Knowledge Check

  • Two wires P and Q are of same material. Their length are in the ratio 4:3 and the diameters are in the ratio 2:3 . If they are pulled by the same force their increase in length will be in the ratio.

    A
    `3//1`
    B
    `2//3`
    C
    `5//4`
    D
    `3//5`

  • Two pieces of wire, A and B of the same material have their lengths in the ratio 1:3 and their diameters are in the ratio 2:1 . If they are stretched by the same force, their elongations will be in the ratio

    A
    `2:1`
    B
    `1:6`
    C
    `1:12`
    D
    `8:1`

  • Two wires A and B are of the same length. Their diameters are in the ratio 1:2 and the Young's modulii are in ratio 2:1 . If they are pulled by the same force, then their elongtions will be in ratio

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