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Three metal rods of same length and same...

Three metal rods of same length and same cross - sectional area are connected in parallel. If their conductivities area 70, 110, 180 `Wm^(-1) K^(-1)` respectively, the effective conductivity (in `Wm^(-1) K^(-1))` of the combination is

A

90

B

260

C

130

D

360

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The metal rods of same length and same area of cross-section are connected in series. If their condcutivites are 120 Wm^(-1) and 240 Wm^(-1) K^(-1) the effective conductivity of the combination is

    A
    `150 Wm^(-1)" " K^(-1)`
    B
    `160 Wm^(-1)" " K^(-1)`
    C
    `180 Wm^(-1)" " K^(-1)`
    D
    `80 Wm^(-1)" " K^(-1)`

  • Two metal wires of identical dimensions are connected in series. If sigma_(1) and sigma_(2) are the conductivities of the metal wires respectively, the effective conductivity of the combination

    A
    `(sigma_(1)sigma_(2))/(sigma_(1) +sigma_(2))`
    B
    `(2sigma_(1)sigma_(2))/(sigma_(1) +sigma_(2))`
    C
    `(sigma_(1)+sigma_(2))/(2sigma_(1)sigma_(2))`
    D
    `(sigma_(1)+sigma_(2))/(sigma_(1)sigma_(2))`

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    A
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    B
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    C
    `(sigma_(1) + sigma_(2))/(2 sigma_(1) + sigma_(2))`
    D
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