A solenoid of $1000$ turns per metre has a core with relative permeability $500$. Insulated windings of the solenoid carry an electric current of $5\, A$. The magnetic flux density produced by the solenoid is

(permeability of free space $\left.=4 \pi \times 10^{-7} H / m \right)$

JEE MAIN 2021, Medium
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$B =\mu nI =\mu_{0} \mu_{ r } nI$

$B =4 \pi \times 10^{-7} \times 500 \times 1000 \times 5$

$B =\pi$ Tesla

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