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JEE Main 20127 MayOnline
Exam
JEE Main
Year
2012
Date
7 May
Mode
Online
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2012 · 7 May · Online · Physics · Magnetic Properties of Matter

A bar magnet of length 6 ~cm has a magnetic moment of 4 ~J ~T^ -1 ....

A bar magnet of length 6 cm6 \mathrm{~cm} has a magnetic moment of 4 J T−14 \mathrm{~J} \mathrm{~T}^{-1}. Find the strength of magnetic field at a distance of 200 cm200 \mathrm{~cm} from the centre of the magnet along its equatorial line.

Options

  1. A4×10−84 \times 10^{-8} tesla
  2. B3.5×10−83.5 \times 10^{-8} tesla
  3. C5×10−85 \times 10^{-8} tesla
  4. D3×10−83 \times 10^{-8} tesla

Correct answer

C. 5×10−85 \times 10^{-8} tesla

Step-by-step solution

Along the equatorial line, magnetic field strength B=μ04πM(r2+ℓ23/2\frac{\mu_0}{4 \pi} \frac{M}{\left(r^2+\ell^2{ }^{3 / 2}\right.}\right)Given:Given:M=4 \mathrm{~J} T^{-1}r=200r=200\mathrm{~cm}=22\mathrm{~m}\ell=\frac{6 \mathrm{~cm}}{2}=3 \mathrm{~cm}=3 \times 10^{-2} \mathrm{~m}∴B=\therefore B=\frac{4 \pi \times 10^{-7}}{4 \pi} \times \frac{4}{\left[2^2+\left(3 \times 10^{-2}\right)^2\right]^{3 / 2}}Solvingweget,Solving we get,B=5 \times 10^{-8} tesla
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