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Potential gradient of a potentiometer wire in series with a resistance and a cell

This type of question, asked 5 times: 4 May 2023 S1, 12 May 2024 S2, 13 May 2024 S2, 18 Apr 2026 S1, 15 May 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    4 May 2023 S1

    22
    A potentiometer wire of length 1 m is connected in series with 495 Ω495\,\Omega resistance and 2 V battery. If 0.2 mV/cm0.2\text{ mV/cm} is the potential gradient, then the resistance of the potentiometer wire is

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  2. Question 2

    12 May 2024 S2

    37
    A potentiometer wire of length 4 m and resistance 5 Ω5\,\Omega is connected in series with a resistance of 992 Ω992\,\Omega and a cell of e.m.f. 4 V with internal resistance 3 Ω3\,\Omega. The length of 0.75 m on potentiometer wire balances the e.m.f. of

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  3. Question 3

    13 May 2024 S2

    14
    A 10 m long wire of resistance 20Ω20\Omega is connected in series with a battery of e.m.f. 3 V (negligible internal resistance) & a resistance of 10Ω10\Omega. The potential gradient along the wire is

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  4. Question 4

    18 Apr 2026 S1

    130
    A potentiometer wire of length 44 m and resistance 5 Ω5\,\Omega is connected in series with a resistance of 992 Ω992\,\Omega and a cell of e.m.f. 44 V with internal resistance 3 Ω3\,\Omega. The length of 0.750.75 m on potentiometer wire balances the e.m.f. of

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  5. Question 5

    15 May 2026 S1

    129
    Potentiometer wire of length 1m is connected in series with 490 Ω490\ \Omega resistance and 22 V battery. If 0.20.2 mV/cm is the potential gradient then the resistance of the potentiometer wire is

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