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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main · Physics · Magnetic Properties of Matter

Two small bar magnets of length 1 cm each have magnetic moments...

Two small bar magnets of length 1 cm\text{1 cm} each have magnetic moments 1.20Am21.20Am^{2} and 1.00Am21 .00 Am^{2} respectively. They are placed on a horizontal table parallel to each other with their N\text{N} poles pointing towards the south. They also have the same magnetic equator and separation between them is~20.0cm20 .0 cm. What will be the value of the resultant horizontal magnetic induction at the mid-point O\text{O} of the line joining their centres? (Horizontal component of earth's magnetic induction is 3.6×10−5Wbm−23 .6 \times {10}^{- 5}Wbm^{- 2} )Two small bar magnets of length 1 cm each have magnetic moments 1.20Am^ 2 and 1 .00 Am^ 2 respectively. They are placed

Options

  1. A3.50×10−4Wbm−23 .50 \times {10}^{- 4}Wbm^{- 2}
  2. B5.80×10−4Wbm−25.80 \times {10}^{- 4}Wbm^{- 2}
  3. C3.6×10−5Wbm−23.6 \times {10}^{- 5}Wbm^{- 2}
  4. D2.56×10−4Wbm−22 .56 \times {10}^{- 4}Wbm^{- 2}

Correct answer

D. 2.56×10−4Wbm−22 .56 \times {10}^{- 4}Wbm^{- 2}

Step-by-step solution

Two small bar magnets of length 1 cm each have magnetic moments 1.20Am^ 2 and 1 .00 Am^ 2 respectively. They are placed

Bnet=B1+B2+BH{B}_{net} = {B}_{1} + {B}_{2} + {B}_{H}

=μ04πM1x3+μ04πM2x3+BH= \dfrac{\mu0}{4\pi}\dfrac{M1}{x3} + \dfrac{\mu0}{4\pi}\dfrac{M2}{x3} + {B}_{H}

=10−7(1.2+1)(0.1)3+3.6×10−5= \dfrac{{ {10}^{- 7} ( 1.2 + 1 ) }}{{( 0.1 )}^{3}} + 3.6 \times {10}^{- 5}

=2.56×10−4Wbm−2= 2 .56 \times {10}^{- 4}Wbm^{- 2}
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