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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 ₀ N^2 r^2 L . Statement 2: The magnetic induction in the solenoid in Statement 1 carrying current I is ₀ N I L in the middle of the solenoid but becomes less

Options

  1. AStatement 1 is true, Statement 2 is false.
  2. BStatement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1.
  3. CStatement 1 is false, Statement 2 is true.
  4. DStatement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.

Correct answer

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

Step-by-step solution

Self inductance of a long solenoid is given by L= ₀ N^2 A l Magnetic field at the centre of solenoid B= ₀ N I l So both the statements are correct and statement 2 is correct explanation of statement 1

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