| This question has Statement 1 and Statement 2. [JEE ONLINE 19-05-2012] |
| 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, and 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.
Correct Answer: B
Solution :
| [b] Self-inductance of a long solenoid is given by\[L=\frac{{{\mu }_{0}}{{N}^{2}}A}{l}\] |
| Magnetic field at the centre of solenoid \[B=\frac{{{\mu }_{0}}NI}{l}\] So both the statements are correct and statement 2 is correct explanation of statement 1 |
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