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JEE Main 202125 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
25 July
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2021 · 25 July · Morning Shift · Physics · Magnetic Properties of Matter

The value of aluminium susceptibility is 2 . 2 × 10 ^ - 5 . The...

The value of aluminium susceptibility is 2.2×10−52 . 2 \times {10}^{- 5}. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is x104\dfrac{x}{{10}^{4}}. Then the value of xx is

Correct answer

0

Step-by-step solution

B=μ(H+I)B = \mu\left(H + I\right)

B=\muH(1+IH)B = \muH\left(1 + \dfrac{I}{H}\right)

B=B0(1+x)B = {B}_{0}( 1 + x )

B−B0=B0xB - {B}_{0} = {B}_{0}x

B−B0B0=x\dfrac{B - {B}_{0}}{{B}_{0}} = x

B−B0B0×100=100x\dfrac{B - {B}_{0}}{{B}_{0}} \times 100 = 100x

=2.2×10−3=22104= 2 . 2 \times {10}^{- 3} = \dfrac{22}{{10}^{4}}

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