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JEE Main & Advanced JEE Main Paper (Held On 19 May 2012)

  • question_answer
                    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.     JEE Main  Online Paper (Held On 19  May  2012)

    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.

    Correct Answer: B

    Solution :

                    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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