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?
JEE MAIN 2022, Medium
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$\chi=1.2 \times 10^{-5}$
$\mu_{ r }=1+\chi=1+1.2 \times 10^{-5}$
Fractional Change
$=\frac{\Delta B }{ B }=\frac{\mu_{0} \mu_{ I } ni -\mu_{0} ni }{\mu_{0} ni }=\left(\mu_{ r }-1\right)$
$=1.2 \times 10^{-5}$
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