(b) Self inductance of coil is $L = \frac{\mu_{0}n^{2}\pi r}{2}$ $\ \ \ = \ \frac{4\pi \times 10^{- 7}}{2} \times (500)^{2} \times \pi \times (5 \times 10^{- 2})\ $ $\ \ \ = 25 \times 10^{- 3}H = 25\ mH$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.