Question

Which of the following statements about the force on a charged particle due to a magnetic field are not valid?

1) The force is directly proportional to the charge of the particle.
2) The force is inversely proportional to the velocity of the particle.
3) The force is perpendicular to both the velocity of the particle and the magnetic field.
4) The force is independent of the mass of the particle.

Answer 1

The correct statement is 2) The force is inversely proportional to the velocity of the particle.

Step-by-step explanation:

The correct statement is 2) The force is inversely proportional to the velocity of the particle.

The force on a charged particle due to a magnetic field is given by the equation F = qvBsinθ, where F is the force, q is the charge, v is the velocity of the particle, B is the magnetic field, and θ is the angle between the velocity and the magnetic field. From this equation, we can see that the force is directly proportional to the charge of the particle (statement 1), perpendicular to both the velocity of the particle and the magnetic field (statement 3), and independent of the mass of the particle (statement 4), making statements 1, 3, and 4 valid. However, the force is not inversely proportional to the velocity of the particle, making statement 2 invalid.