Easy MCQ +4 / -1 PYQ · JEE Mains 2022

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2 $\times$ 10$-$5. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

  1. A 1.2 $\times$ 10<sup>$-$5</sup> Correct answer
  2. B 1.2 $\times$ 10<sup>$-$3</sup>
  3. C 1.8 $\times$ 10<sup>$-$3</sup>
  4. D 2.4 $\times$ 10<sup>$-$5</sup>

Solution

<p>$\overrightarrow {B'} = {\mu _0}(1 + X)ni$ (in the material)</p> <p>$\overrightarrow {B'} = {\mu _0}ni$ (without material)</p> <p>So fractional increase is</p> <p>${{B' - B} \over B} = X = 1.2 \times {10^{ - 5}}$</p>

About this question

Subject: Physics · Chapter: Magnetism · Topic: Bar Magnet and Magnetic Field

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