The separation between two magnets is reduced by a factor of 5. How does the force between them change? Question 18 options:

Question

The separation between two magnets is reduced by a factor of 5. How does the force between them change?

Question 18 options:

increases by a factor of 5

increases by a factor of 25

decreases by a factor of 5

decreases by a factor of 25

doesn’t change

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Nem 6 months 2021-07-17T12:21:55+00:00 1 Answers 4 views 0

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    2021-07-17T12:23:30+00:00

    Answer:Increase by a factor of  25

    Explanation:

    We know that magnetic force is proportional to \frac{1}{r^2}

    where r is the distance between them

    F\propto B\propto \frac{1}{r^2}

    Thus F\propto \frac{1}{r^2}

    Where B=magnetic field

    If distance is reduced by a factor of 5 then force must increase by a factor of 25 because

    r\rightarrow \frac{r}{5}

    so F\propto \dfrac{1}{(\frac{r}{5})^2}

    F\propto \frac{25}{r^2}

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