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Voltmeter of range 0-15 V with a 100 ohm galvanometer: find X when adding 1500 ohm doubles the range

The same question, asked 2 times: 25 Apr 2025 S2, 17 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    25 Apr 2025 S2

    42
    With a resistance ' X ' connected in series with a galvanometer of resistance 100Ω100\Omega, it acts as a voltmeter of range 0−15 V0 - 15\text{ }V. To double the range, a resistance of 1500Ω1500\Omega is to be connected in series with ' X '. The value of ' X ' in ohm is

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  2. Question 2

    17 Apr 2026 S1

    130
    With a resistance 'XX' connected in series with a galvanometer of resistance 100 Ω100\,\Omega, it acts as a voltmeter of range 0 - 15 V. To double the range, a resistance of 1500 Ω1500\,\Omega is to be connected in series with 'XX'. The value of 'XX' in Ω\Omega is

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