Statement 1: Self inductance of a long solenoid of length L, total number of turns N and radius r is less than $\frac{π μ_{0} N^{2} r^{2}}{L} .$
Statement 2: The magnetic induction in the solenoid in Statement 1 carrying current I is $\frac{μ_{0} N I}{L}$ in the middle of the solenoid but becomes less as we move towards its ends.

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Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1.

Statement 1 is false, Statement 2 is true

Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.

Statement 1 is true, Statement 2 is false

answer is A.

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Detailed Solution

For infinite length of solenoid $B = \frac{μ_{0} N I}{L}$

For finite length of solenoid $= \frac{μ_{0} N^{2} A}{L}$

So, both statements are true, Statement 2 is the correct explanation of Statement 1.

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