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The length of a metal wire is l1 when th...

The length of a metal wire is `l_1` when the tensionin it is `T_1 and is l_2` when the tension is `T_2`. The natural length of the wire is

A

`(l_2+l_2)/2`

B

`sqrt(l_1l_2)`

C

`(l_1T_2-l_2T_1)/(T_2-T_1)`

D

`(l_1T_2+l_2T_1)/(T_2+T_1)`

Text Solution

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Knowledge Check

  • The length of a metal wire is l_(1) when the tension in it is T_(1) and is l_(2) when the tension is T_(2) . Then natural length of the wire is

    A
    `(l_(1)+l_(2))/(2)`
    B
    `sqrt((l_(1)l_(2))`
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  • The length of a metal wire is 10cm when the tension in it is 20N and 12cm when the tension is 40N . Then natural length of the wire is in cm

    A
    `6`
    B
    `4`
    C
    `8`
    D
    `9`

  • The length of a metal wire is l when the tension is F and x l when the tension si y F. Then the natural length of the wire is

    A
    `((x -y)l)/(x - 1)`
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