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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

In a uniform magnetic field of strength 0. 15T , a short bar magnet...

In a uniform magnetic field of strength 0.15T0. 15T, a short bar magnet of magnetic moment m=0.32JT−1m = 0. 32{J T}^{- 1} is placed. The potential energy of the magnet in its unstable equilibrium position is

Options

  1. A4.8×10−2J4. 8 \times {10}^{- 2}J
  2. B9.6×10−2J9. 6 \times {10}^{- 2}J
  3. C2.8×10−2J2. 8 \times {10}^{- 2}J
  4. D1.2×10−2J1. 2 \times {10}^{- 2}J

Correct answer

A. 4.8×10−2J4. 8 \times {10}^{- 2}J

Step-by-step solution

For the unstable equilibrium, the angle between the magnetic moment and magnetic field is 180^{o}. ( ∵∵ In this position it will be in a direction perpendicular to magnetic field thus maximum torque will act on it.)

θ=180o\theta = 1 8 {0}^{o}

Potential energy of the magnet

U = - mB \cos 180^{o}

= - 0.32 x 0.15 (- 1) = 4.8 x 10^{-2} J

Thus, for the unstable equilibrium the potential energy is 4.8 x 10^{-2} J.
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