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Let R Be the Distance of a Point on the Axis of a Magnetic Dipole from Its Centre. the Magnetic Field at Such a Point is Proportional to - Physics

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प्रश्न

Let r be the distance of a point on the axis of a magnetic dipole from its centre. The magnetic field at such a point is proportional to

विकल्प

  • `1/r`

  • `1/r^2`

  • `1/r^3`

  • none of these

MCQ

उत्तर

`1/r^3`

Magnetic field B due to a bar magnet of magnetic moment M at distance r of the point on the axis from its centre is given by `B = (u_0 2Mr)/(4pi(r^2 - l^2)^2`

Here, 2l  is the length of the magnet.
When the distance of the point where the magnetic field has to be calculated is greater than the length of the magnet, i.e r >> l , the bar magnet acts like a magnetic dipole whose magnetic field is `B ∝ 1/r^3`

Now, l in the denominator can be neglected.
So, the correct option is (c).

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अध्याय 14: Permanent Magnets - MCQ [पृष्ठ २७६]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 14 Permanent Magnets
MCQ | Q 5 | पृष्ठ २७६

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