A charged particle moves through a magnetic field in a direction perpendicular to it. Then the
- Speed of the particle remains unchanged
- Direction of the particle remains unchanged
- Acceleration remains unchanged
- Velocity remains unchanged
The Correct Option is A
Solution and Explanation
When a charged particle moves through a magnetic field in a direction perpendicular to it, the particle's speed remains unchanged while its direction changes. This is because the magnetic field exerts a force on the charged particle, causing it to undergo circular motion due to the Lorenz force. In this circular motion, the particle's speed remains constant, but its velocity (direction of motion) continuously changes because it is directed perpendicular to the magnetic field lines.
So, the correct answer is (A): Speed of the particle remains unchanged.
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Concepts Used:
Magnetic Force
Magnetic force is the attraction or repulsion force that results from the motion of electrically charged particles. The magnets are attracted or repellent to one another due to this force. A compass, a motor, the magnets that hold the refrigerator door, train tracks, and modern roller coasters are all examples of magnetic power.
A magnetic field is generated by all moving charges, and the charges that pass through its regions feel a force. Depending on whether the force is attractive or repulsive, it may be positive or negative. The magnetism force is determined by the object's charge, velocity, and magnetic field.
Read More: Magnetic Force and Magnetic Field
The magnitude of the magnetic force depends on how much charge is in how much motion in each of the objects and how far apart they are.
Mathematically, we can write magnetic force as:
A charge will feel a force as it passes through a magnetic field at an angle. This force is given by the equation:
A force acts on the motion of charge q traveling with velocity v in a Magnetism field, and this force is:
- Perpendicular to both v and B.
- Perpendicular to sinθ (where θ is the angle between v and B).
- Proportional to the charge q.
- Proportional to the velocity v.