| Directions: In the following questions, a statement of Assertion [A] is followed by a statement of Reason (R). Mark the correct choice as: |
| Assertion [A]: When number of turns in a coil doubled. coefficient of self inductance of the coil becomes four times. |
| Reason (R): Coefficient of self inductance is proportional to the square of number of turns. |
A) Both Assertion [A] and Reason (R) are true and Reason (R) is the correct explanation of Assertion [A]
B) Both Assertion [A] and Reason (R) are true but Reason (R) is not the correct explanation of Assertion [A]
C) Assertion [A] is true but Reason (R) is false
D) Assertion [A] is false and Reason (R) is also false
Correct Answer: A
Solution :
(a) The coefficient of self inductance of the coil is given by \[L=\frac{{{\mu }_{0}}{{N}^{2}}A}{l}\] where N is number of turns, l is length of the coil and A is area of coil so \[L\propto {{N}^{2}}\].
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