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The specific resistance of the material ...

The specific resistance of the material of a conductor of length 3m area of cross-section 0.2 `"mm"^2` having a resistance of 2 ohm is:

A

`6.15 xx 10^(-8)` mho `m^(-1)`

B

`7.5 xx 10^(-8)` mho `m^(-1)`

C

`1.33 xx10^(-7)` mho `m^(-1)`

D

`1.5 xx 10^(-8)` mho `m^(-1)`

Text Solution

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The correct Answer is:
B
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Find the resistance of a copper coil of total wire-length 10m and area of cross section 1.0mm^(2) . What would be the resistance of a similar coil of aluminium? The resistivity of copper =1.7xx10^(-8)(Omega)m and that of aluminium 2.6xx10^(-8)(Omega).

Knowledge Check

  • If the specific resistance of a potentiometer wire is 10^(-7)Omega m and current flowing through it is 0.1 amp, cross-sectional aea of wire is 10^(-6) m^(2) , then potential gradient will be

    A
    `10^(-2)v//m`
    B
    `10^(-4) v//m`
    C
    `10^(-6) v//m`
    D
    `10^(-8) v//m`
  • The ratio of thermal conductivity of two rods of different material is 5:4. The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio

    A
    4:5
    B
    9:1
    C
    1:9
    D
    5:4
  • Two wires of the same material having equal area of cross section have lengths Land 2L. Their respective resistances are in the ratio

    A
    `2:1`
    B
    `1:1`
    C
    `1:2`
    D
    `1:3`
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    What is the variation of resistance with length and area of cross section of conductor?

    Find the thermal resistance of an aluminium rod of length 20cm and area of cross section 1cm^(2) . The heat current is along the length of the rod. Thermal conductivity of aluminium =200Wm^(-1)K^(-1) .

    Calculate the resistance of an aluminium wire of length 50 cm and cross sectional area 2.0mm^(2) . The resistivity of aluminium is (rho)=2.6xx10^(-8)(Omega)m.

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