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Question
Two short magnets having magnetic moments in the ratio 27 : 8, when placed on opposite sides of a deflection magnetometer, produces no deflection. If the distance of the weaker magnet is 0.12 m from the centre of deflection magnetometer the distance of the stronger magnet from the centre is ______.
Options
0.06 m
0.08 m
0.12 m
0.18 m
MCQ
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Solution
Two short magnets having magnetic moments in the ratio 27 : 8, when placed on opposite sides of a deflection magnetometer, produces no deflection. If the distance of the weaker magnet is 0.12 m from the centre of deflection magnetometer the distance of the stronger magnet from the centre is 0.18 m.
Explanation:
`"M"_1/"M"_2 = ("d"_1/"d"_2)^3 => 27/8 = ("d"_1/0.12)^3`
`therefore 3/2 = "d"_1/0.12`
`=> "d"_1 = 0.18 " m"`
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