Full solution

Q. An electron beam is moving near to a conducting loop then the induced current direction in the loop

Identify Interaction: Identify the interaction between the electron beam and the conducting loop. $\newline$ When an electron beam moves near a conducting loop, it creates a changing magnetic field around the loop. This changing magnetic field induces an electromotive force (EMF) in the loop according to Faraday's Law of Electromagnetic Induction.
Apply Lenz's Law: Apply Lenz's Law to determine the direction of the induced current. $\newline$ Lenz's Law states that the direction of the induced current will be such that it opposes the change in magnetic flux that produced it. Since the electron beam consists of moving negative charges, the magnetic field around the beam has a certain direction according to the right-hand rule.
Use Right-Hand Rule: Use the right-hand rule to find the direction of the magnetic field. Pointing the thumb of the right hand in the direction of the electron's velocity (opposite to the electron's movement because electrons are negatively charged), the fingers curl in the direction of the magnetic field around the beam. This magnetic field induces a current in the loop.
Determine Current Direction: Determine the direction of the induced current in the loop. The induced current in the loop will flow in a direction that creates a magnetic field opposing the electron beam's magnetic field. Using the right-hand rule again, if the electron beam's direction is downwards, the induced current will be counterclockwise when viewed from above.