A charged particle moves through a magnetic field perpendicular to its direction, then
A charged particle moves through a magnetic field perpendicular to its direction, then
- kinetic energy changes but the momentum is constant
the linear momentum changes but the kinetic energy is constant
- both momentum and kinetic energy of the particle are not constant
- both momentum and kinetic energy of the particle are constant
The Correct Option is B
Solution and Explanation
When a charge particle enters a magnetic field at a direction perpendicular to the direction of motion, then the path of the motion is circular. In circular motion the direction of velocity changes at every point and the magnitude remains constant. Therefore, the tangential momentum will change at every point.
Kinetic energy is given by . Since the magnitude of the velocity remains constant, therefore the kinetic energy will also remain constant.
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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.