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The resistance R of a conducting wire de...

The resistance R of a conducting wire depends on its material , length l and area of cross section A. The resistivity of the material of the wire is `rho=(RA)l` the value of `rho` is for different materials .It is very low for conducting materials like metals,Besides, the resistance of a conductor also depends on its temperature. IF the resistance of a conductor is `R_0` at `0^@C` and `R_1` at `t^@C`, then `R_1=R_0(1+at)` where a is called the temperature coefficient of resistance. The resistance increases with temperature for metallic conductors but decreases for graphite,a few metal alloys,and for semiconductors like silicon and germanium.
The resistance of a metal wire increases by 10% when its temperature rises from `10^@C` to `110^@C`.The temperature coefficient of resistance of the metal is

A

`0.02^@C^-1`

B

`0.01^@C^-1`

C

`0.002^@C^-1`

D

`0.001^@C^-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The resistance R of a conducting wire depends on its material , length l and area of cross section A. The resistivity of the material of the wire is rho=(RA)/t the value of rho is for different materials .It is very low for conducting materials like metals,Besides, the resistance of a conductor also depends on its temperature. IF the resistance of a conductor is R_0 at 0^@C and R_1 at t^@C , then R_1=R_0(1+at) where a is called the temperature coefficient of resistance. The resistance increases with temperature for metallic conductors but decreases for graphite,a few metal alloys,and for semiconductors like silicon and germanium. The temperature coefficient of resistance of a semiconductor is

    A
    zero
    B
    positive
    C
    negative
    D
    positive or negative depending on the material
  • The resistance R of a conducting wire depends on its material , length l and area of cross section A. The resistivity of the material of the wire is rho=(RA)/l the value of rho is for different materials .It is very low for conducting materials like metals,Besides, the resistance of a conductor also depends on its temperature. IF the resistance of a conductor is R_0 at 0^@C and R_1 at t^@C , then R_1=R_0(1+at) where a is called the temperature coefficient of resistance. The resistance increases with temperature for metallic conductors but decreases for graphite,a few metal alloys,and for semiconductors like silicon and germanium. The length of this metal wire is doubled by stretching .What will be the change in its resistance?

    A
    100% increase
    B
    200% increase
    C
    300% increase
    D
    500% increase
  • The resistance R of a conducting wire depends on its material , length l and area of cross section A. The resistivity of the material of the wire is rho=(RA)/t the value of rho is for different materials .It is very low for conducting materials like metals,Besides, the resistance of a conductor also depends on its temperature. IF the resistance of a conductor is R_0 at 0^@C and R_1 at t^@C , then R_1=R_0(1+at) where a is called the temperature coefficient of resistance. The resistance increases with temperature for metallic conductors but decreases for graphite,a few metal alloys,and for semiconductors like silicon and germanium. The temperature of this new wire is again raised from 10^@C to 110^@C The percentage increase of his resistance would be

    A
    0.05
    B
    0.1
    C
    0.2
    D
    0.4
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