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 $N$ and radius $r$ 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.

• A
  Statement $1$ is true,Statement $2$ is false.
• B
  Statement $1$ is true,Statement $2$ is true,Statement $2$ is the correct explanation of Statement $1.$
• C
  Statement $1$ is false,Statement $2$ is true.
• D
  Statement $1$ is true,Statement $2$ is true,Statement $2$ is not the correct explanation of Statement $1.$