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How is magnetic force between two poles ...

How is magnetic force between two poles affected when strength of each pole is doubled and distance between them is halved?

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Force becomes 16 times. This is because
`F^'=(mu_0)/(4pi)(m_1^'m_2^')/(r^('2))=(mu_0)/(4pi)((2m_1)(2m_2))/((r//2)^2)`
`=16F`
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Knowledge Check

  • The gravitational force of attraction between two bodies is F_(1). If the mass of each body is doubled and the distance between them is halved, then the gravitational force between them is

    A
    `F_(1)`
    B
    `4F_(1)`
    C
    `8F_(1)`
    D
    `16F_(1)`

  • The pole strength of a magnet is

    A
    vector quantity with SI unit A m
    B
    scalar quantity with SI unit A/m
    C
    vector quantity with SI unit A/m
    D
    scalar quantity with SI unit A m

  • The distance between two magnetic poles is doubled and their pole-strength is also doubled. The force between them

    A
    increases to four times
    B
    decreases by half
    C
    remains unchanged
    D
    increases to two times

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