Step 1: Use Lenz’s Law
According to Lenz’s law, the induced current always flows in a direction such that it opposes the change in magnetic flux that causes it.
Step 2: Analyze Solenoid-1
As the bar magnet approaches solenoid-1, the magnetic flux increases. To oppose this increase, solenoid-1 generates a magnetic field opposite to the bar magnet’s field, inducing a current in the direction AB.
Step 3: Analyze Solenoid-2
For solenoid-2, the magnetic field due to the approaching bar magnet increases in the direction towards solenoid-1. To oppose this, solenoid-2 generates a magnetic field pointing away, inducing a current in the direction DC.
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :