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JEE Main 202116 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2021 · 16 March · Morning Shift · Physics · Magnetic Properties of Matter

A bar magnet of length 14cm is placed in the magnetic meridian with...

A bar magnet of length 14cm14cm is placed in the magnetic meridian with its north pole pointing towards the geographic north pole. A neutral point is obtained at a distance of 18cm18cm from the center of the magnet. If BH=0.4G{B}_{H} = 0 . 4G, the magnetic moment of the magnet is (1G=10−4T)\left(1G = {10}^{- 4}T\right)A bar magnet of length 14cm is placed in the magnetic meridian with its north pole pointing towards the geographicA bar magnet of length 14cm is placed in the magnetic meridian with its north pole pointing towards the geographic

Options

  1. A2.880×103JT−12 . 880 \times {10}^{3}J{T}^{- 1}
  2. B2.880×102JT−12 . 880 \times {10}^{2}J{T}^{- 1}
  3. C2.880JT−12 . 880J{T}^{- 1}
  4. D28.80JT−128 . 80J{T}^{- 1}

Correct answer

C. 2.880JT−12 . 880J{T}^{- 1}

Step-by-step solution

A bar magnet of length 14cm is placed in the magnetic meridian with its north pole pointing towards the geographic

i.e.& 2μ04πmr2×7r=0.4×10−4\dfrac{2{μ}_{0}}{4\pi}\dfrac{m}{r2} \times \dfrac{7}{r} = 0 . 4 \times {10}^{- 4}

⇒2×10−7×m×7(72+182)3/2×104=0.4×10−4⇒ 2 \times {10}^{- 7} \times \dfrac{m \times 7}{\left({7}^{2} + {18}^{2}\right)3 / 2} \times {10}^{4}= 0 . 4 \times {10}^{- 4}

m=4×10−2×(373)3/214m = \dfrac{4 \times {10}^{- 2} \times \left(373\right)3 / 2}{14}

⇒M=m×14cm=m×14100=0.04×(373)3/214×14100⇒ M = m \times 14cm = m \times \dfrac{14}{100}= \dfrac{0 . 04 \times \left(373\right)3 / 2}{14} \times \dfrac{14}{100}

⇒M=4×10−4×7203.82=2.88JT−1⇒ M = 4 \times {10}^{- 4} \times 7203 . 82 = 2 . 88JT^{- 1}.

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