In this problem, we are given an assertion and a reason related to electromagnetic induction. Let's analyze them:
Assertion (A): It is difficult to move a magnet into a coil of large number of turns when the circuit of the coil is closed.
Reason (R): The direction of induced current in a coil with its circuit closed, due to motion of a magnet, is such that it opposes the cause.
First, understand the phenomenon referred to in both the assertion and the reason, which is explained by Lenz's Law. According to Lenz's Law, the direction of induced current is such that it opposes the change that produced it. This is an application of the conservation of energy.
When a magnet is moved into a coil (especially one with many turns), and the circuit is closed, an induced current is generated due to the change in magnetic flux. This current creates its own magnetic field that opposes the movement of the magnet. Hence, more effort is required to move the magnet into the coil than if the coil circuit were open. This explains why the assertion is true.
The reason correctly states that the induced current's direction opposes the cause of its creation (the movement of the magnet). Therefore, the assertion and reason are both true, and the reason provides the correct explanation for the assertion.
Based on this analysis, the correct option is:
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
A circular coil of diameter 15 mm having 300 turns is placed in a magnetic field of 30 mT such that the plane of the coil is perpendicular to the direction of the magnetic field. The magnetic field is reduced uniformly to zero in 20 ms and again increased uniformly to 30 mT in 40 ms. If the EMFs induced in the two time intervals are \( e_1 \) and \( e_2 \) respectively, then the value of \( e_1 / e_2 \) is:
Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of $\frac{1}{\sqrt{2}}$ Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of $10 \mathrm{~cm} / \mathrm{s}$, induced emf between points A and E is _______ mV.} 
“One of these days you’re going to talk yourself into a load of trouble,” her father said aggressively. What do you learn about Sophie’s father from these lines? (Going Places)