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Question

A short magnet produces a deflection of 45o when placed at some distance in tanA position of the deflection magnetometer. If another magnet of same length and pole strength is kept at the same distance in tanB position then the deflection produced is :

A
tan1(12)
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B
tan1(2)
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C
tan1(0.25)
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D
tan1(0.75)
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Solution

The correct option is A tan1(12)
Magnteic field of a magnet in tanA position is:
μo4π2MAd3=BHtanθA
Magnetic field of a magnet in tanB position is:
μo4πMBd3=BHtanθB
tanθAtanθB=2
tanθB=12
θB=tan1(0.5)

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