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A wire of length l has a resistance R. I...

A wire of length l has a resistance R. If half of the length is stretched to make the radius half of its original value, then the final resistance of the wire is

A

9R

B

5R

C

`(17R)/(2)`

D

3R

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A wire has a resistance of 32Omega . It is melted and drawn into a wire of half of its original length. What is the resistance of the new wire?

    A
    `32Omega`
    B
    `16Omega`
    C
    `8Omega`
    D
    `4Omega`

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    A
    `40 Omega`
    B
    `60Omega`
    C
    `120Omega`
    D
    `160Omega`

  • A wire of length L is drawn such that its diameter is reduced to half of its original diameter. If the initial resistance of the wire were 10 Omega , its new resistance would be .

    A
    `40 Omega`
    B
    `80 Omega`
    C
    `120 Omega`
    D
    `160 Omega`

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