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Q.

Two short magnets AB and CD in the X-Y plane and are parallel to X-axis and the co-ordinates of their centres respectively are (0,2) and (2,0). Line joining the North - South poles of CD is opposite to that of AB and lies along the positive X-axis. The resultant field induction due to AB and CD at a point P(2,2) is 100×10-7T . When the poles of the magnet CD are reversed, the resultant field induction is 50×10-7T . The values of magnetic moments of AB and CD are (in Am2)

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a

300:200

b

400:600

c

200:100

d

300:100

answer is A.

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Detailed Solution

BR1=B1+B2;BR2=B1-B2
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Two short magnets AB and CD in the X-Y plane and are parallel to X-axis and the co-ordinates of their centres respectively are (0,2) and (2,0). Line joining the North - South poles of CD is opposite to that of AB and lies along the positive X-axis. The resultant field induction due to AB and CD at a point P(2,2) is 100×10-7T . When the poles of the magnet CD are reversed, the resultant field induction is 50×10-7T . The values of magnetic moments of AB and CD are (in Am2)