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Wire stretched or redrawn at constant volume: new resistance or percentage change

This type of question, asked 9 times: 2021 Paper 26, 25 Jun 2022, 26 Jun 2022, 28 Jul 2022, 24 Jan 2023, 25 Jan 2023, 12 Apr 2023, 4 Apr 2024, 6 Apr 2024. All 9 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 26

    15
    A wire of 1Ω1\Omega has a length of 1 m1\text{ }m. It is stretched till its length increases by 25%25\%. The percentage change in a resistance to the nearest integer is:

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  2. Question 2

    25 Jun 2022

    118
    The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be ____\_\_\_\_ %\%.

  3. Question 3

    26 Jun 2022

    13
    An aluminium wire is stretched to make its length, 0.4%0.4\% larger. Then percentage change in resistance is:

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  4. Question 4

    28 Jul 2022

    11
    A wire of resistance R1R_{1} is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is:

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  5. Question 5

    24 Jan 2023

    118
    If a copper wire is stretched to increase its length by 20%20\%. The percentage increase in resistance of the wire is ____\_\_\_\_ %\%.

  6. Question 6

    25 Jan 2023

    109
    The resistance of a wire is 5Ω5\Omega. It's new resistance in ohm if stretched to 5 times of it's original length will be:

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  7. Question 7

    12 Apr 2023

    8
    A wire of resistance 160Ω160\Omega is melted and drawn in wire of one-fourth of its length. The new resistance of the wire will be

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  8. Question 8

    4 Apr 2024

    118
    Two wires AA and BB are made up of the same material and have the same mass. Wire A has radius of 2.0 mm2.0\text{ }mm and wire BB has radius of 4.0 mm4.0\text{ }mm. The resistance of wire BB is 2Ω2\Omega. The resistance of wire AA is ___ Ω\Omega.

  9. Question 9

    6 Apr 2024

    26
    A wire of resistance RR and radius rr is stretched till its radius became r/2r/2. If new resistance of the stretched wire is xRxR, then value of xx is _____