Verified Solution • 2025–26 Session moderate

QJEEM22Ph8747: JEE Main 2022 Physics - Class 12 JEEM22Ph8747 Solution: The space inside a straight current carrying solenoid is filled …

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?

Multiple Choice Options

  • A 1.2 ×\times 10 −- 5
  • B 1.2 ×\times 10 −- 3
  • C 1.8 ×\times 10 −- 3
  • D 2.4 ×\times 10 −- 5

Step-by-Step Verified Solution

B′→=μ0(1+X)ni\overrightarrow {B'} = {\mu _0}(1 + X)ni (in the material)

B′→=μ0ni\overrightarrow {B'} = {\mu _0}ni (without material)

So fractional increase is

B′−BB=X=1.2×10−5{{B' - B} \over B} = X = 1.2 \times {10^{ - 5}}

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