State whether the following statement is true or false:

A stationary charge is placed in a magnetic field. It experiences a force.

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept: Charge which has a velocity with a direction not parallel or anti parallel to the magnetic field, experiences a force known as the Lorentz force. The magnitude of this force is given by the Lorentz force law.
Formula used:

q is the magnitude of charge on the particle with correct signs (for positive and negative charges respectively).
The magnitude of this force is given by

Where θ is the angle between the velocity and magnetic field vectors.
The direction of the Lorentz force is perpendicular to the plane containing

For a stationary charged particle, v=0v=0, therefore from equation (1) , the force will also be zero.
So, a stationary charge will not experience a force in a magnetic field and this would be the right statement.
Hence, the given statement is false.

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