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Wire cut into two halves, each half across the same voltage: change in power dissipated

The same question, asked 3 times: 2021 Paper 24*, 13 Apr 2023*, 30 Jan 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 24

    26
    A uniform heating wire of resistance 36Ω36\Omega is connected across a potential difference of 240 V240\text{ }V. The wire is then cut into half and potential difference of 240 V240\text{ }V is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be 1:x1:x, where xx is

  2. Question 2

    13 Apr 2023

    22
    A potential V0V_{0} is applied across a uniform wire of resistance RR. The power dissipation is P1P_{1}. The wire is then cut into two equal halves and a potential of V0V_{0} is applied across the length of each half. The total power dissipation across two wires is P2P_{2}. The ratio P2:P1P_{2}:P_{1} is x:1\sqrt{x}:1. The value of xx is___

  3. Question 3

    30 Jan 2024

    108
    When a potential difference VV is applied across a wire of resistance RR, it dissipates energy at a rate W. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:

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