Q1) A positively charged particle projected towards east is deflected towards north by a magnetic field. The field is

a] towards east b] towards south c] upward d] downward

Q2) A vertical wire carries a current in upward direction. An electron beam sent horizontally towards it will be deflected

a] towards right b] towards left c] upward d] downward

Please give me the explanation tooo.

Thank you

To tackle these questions, we need to apply our understanding of the interaction between charged particles and magnetic fields, specifically using the right-hand rule. This rule helps us determine the direction of the force experienced by a charged particle moving in a magnetic field.

Question 1: Deflection of a Positively Charged Particle

In the first scenario, we have a positively charged particle moving towards the east and being deflected towards the north by a magnetic field. To find the direction of the magnetic field, we can use the right-hand rule:

• Point your thumb in the direction of the velocity of the positively charged particle (east).
• Since the particle is deflected towards the north, your fingers should curl in that direction.
• According to the right-hand rule, your palm will face the direction of the magnetic field.

In this case, if your thumb points east and your fingers curl north, your palm will face upwards. Therefore, the magnetic field must be directed upwards. Thus, the correct answer is:

Question 2: Deflection of an Electron Beam Near a Current-Carrying Wire

For the second question, we have a vertical wire carrying an upward current and an electron beam moving horizontally towards it. Electrons are negatively charged particles, so we need to consider their charge when applying the right-hand rule:

• For the current in the wire (which is upward), point your thumb upwards.
• Since the electron beam is moving horizontally towards the wire, we can assume it is moving from left to right.
• Now, since electrons are negatively charged, we need to reverse the direction of the force indicated by the right-hand rule.

Using the right-hand rule, if your thumb is pointing upwards (the direction of the current) and your fingers point towards the right (the direction of the electron beam), your palm will face towards the left. However, since we are dealing with electrons, we reverse this direction. Therefore, the electrons will be deflected towards the right. The answer is:

Summary of Concepts

Both questions illustrate fundamental principles of electromagnetism, particularly how charged particles interact with magnetic fields. The right-hand rule is a crucial tool for visualizing these interactions, allowing us to predict the behavior of charged particles in various scenarios. Understanding these concepts is essential for grasping more complex topics in physics, such as electromagnetic induction and the behavior of charged particles in different fields.