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Air-cored coil of 0.1 H gets an iron core of permeability 1000 and a tenth of the turns: new self-inductance

The same question, asked 3 times: 2 May 2023 S2, 15 May 2023 S2, 13 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S2

    8
    An air-cored coil has self-inductance of 0.1 H. A soft iron core of relative permeability 1000 is introduced and the number of turns is reduced to 110\frac{1}{10}th. The value of self-inductance is now

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  2. Question 2

    15 May 2023 S2

    36
    An air cored coil has a self-inductance 0.1 H. A soft iron core of relative permeability 1000 is introduced and the number of turns is reduced 110\frac{1}{10}th. The value of self-inductance is

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  3. Question 3

    13 May 2026 S1

    134
    An air cored coil has a self inductance of 0.10.1 H. A soft iron core of relative permeability 10001000 is introduced inside cored coil and number of turns reduced to (110)th\left(\dfrac{1}{10}\right)^{th}. The value of self inductance now becomes

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