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Two short magnets having magnetic moments in the ratio 27 : 8, when placed on opposite sides of a deflection magnetometer, produces no deflection.

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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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