JEE Main 2012 — Electromagnetic Induction Question with Solution

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: Self inductance of a long solenoid of length $L$, total number of turns $\mathrm{N}$ and radius $\mathrm{r}$ is less than $\frac{\pi {\mu }_0{N}^2{r}^2}{L}$. Statement 2: The magnetic induction in the solenoid in Statement 1 carrying current $I$ is $\frac{{\mu }_{0}NI}{L}$ in the middle of the solenoid but becomes less as we move towards its ends.