$A$ 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 $= 4 \pi \times 10^{-7} \, H/m$)
- A$\pi \, T$
- B$2 \times 10^{-3} \pi \, T$
- C$\frac{\pi}{5} \, T$
- D$10^{-4} \pi \, T$
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