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Q.

The magnetic field due to a short magnet at a point on its axis at distance X cm from the middle point of the magnet is 200 gauss. The magnetic filed at a point on the neutral axis at a distance X cm from the middle of the magnet is

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a

400 gauss

b

50 gauss

c

200 gauss

d

100 gauss

answer is A.

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Detailed Solution

Along the axis of magnet, $B_{a} = \frac{μ_{0}}{4 π} \frac{2 M}{X^{3}} = 200 gauss$

$\Rightarrow B_{e} = \frac{μ_{0}}{4 π} \frac{M}{X^{3}} = 100 gauss$

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