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 $\left.=4 \pi \times 10^{-7} H / m \right)$

  • A$\pi\;T$
  • B$2 \times 10^{-3} \pi \;T$
  • C$\frac{\pi}{5} \;T$
  • D$10^{-4} \pi\;T$
JEE MAIN 2021, Medium
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