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NEET
Exam
NEET
Subject
Physics
Chapter
Magnetic Properties of Matter

NEET · Physics · Magnetic Properties of Matter

A solenoid with a magnetic core has a magnetic induction of 1.6π T...

A solenoid with a magnetic core has a magnetic induction of 1.6π1.6\pi T inside it when subjected to a magnetising field of 20002000 A m−1^{-1}. The magnetic susceptibility of the core material is:
(μ0=4π×10−7\mu_0 = 4\pi \times 10^{-7} T m A−1^{-1})

Options

  1. A20002000
  2. B19991999
  3. C20012001
  4. D199199

Correct answer

B. 19991999

Step-by-step solution

Absolute permeability is given by μ=BH\mu = \dfrac{B}{H}.

μ=1.6π2000=8π×10−4\mu = \dfrac{1.6\pi}{2000} = 8\pi \times 10^{-4} T m A−1^{-1}

Relative permeability is μr=μμ0\mu_r = \dfrac{\mu}{\mu_0}.

μr=8π×10−44π×10−7=2000\mu_r = \dfrac{8\pi \times 10^{-4}}{4\pi \times 10^{-7}} = 2000

Magnetic susceptibility is χm=μr−1\chi_m = \mu_r - 1.

χm=2000−1=1999\chi_m = 2000 - 1 = 1999

Answer: 19991999
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