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Two metal wires of identical dimensions ...

Two metal wires of identical dimensions are connected in series. If `sigma_1` and `sigma_2` are the electrical conductivities of the metal wires respectively, the effective conductivity of the combination is

A

`sigma_1+sigma_2`

B

`(sigma_1sigma_2)/(sigma_1+sigma_2)`

C

`(2sigma_1sigma_2)/(sigma_1+sigma_2)`

D

`(sigma_1+sigma_2)/(2sigma_1sigma_2)`

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Knowledge Check

  • Two metal wires of identical dimension are connected in series. If sigma1 and sigma2 are the conductivity of the combination is :

    A
    `(sigma_1+sigma_2`)/(2sigma_1sigma_2)`
    B
    `(sigma_1+sigma_2`)/(sigma_1sigma_2)`
    C
    `(sigma_1sigma_2`)/(sigma_1+sigma_2)`
    D
    `(2sigma_1+sigma_2`)/(sigma_1+sigma_2)`

  • A metal wire of length L-1 and area of cross sectional A is attached to a rigid support. Another metal wire of length L^2 and of same cross -sectional area is attached to the free end of the first wire. A body of mass is then suspended from the free end of the second wire. If Y_1 AND Y_2 are the Young's modulus of teh wires respectively, the effective force constant of the system of two wires is

    A
    `(AY_1Y_2)/(L_1Y_1+L_2Y_2)`
    B
    `(AY_1Y_2)/(2(L_1Y_1+L_2Y_2))`
    C
    `(AY_1Y_2)/(L_1Y_1divL_2Y_1)`
    D
    `(AY_1Y_2)/(2(L_1Y_1divL_2Y_1))`

  • The non metal which has some electricity conducting allotropes is

    A
    Boron
    B
    carbon
    C
    Silicon
    D
    None of these

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