In a magnetic field,
(A) a charged particle in motion can experience a force
(B) a charged particle at rest, experiences a force
(C) there is no change in the speed of the charged particle
(D) there is a change in the kinetic energy of the charged particle.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A) and (C) only
The force on a charge in a magnetic field is the magnetic Lorentz force
\( \displaystyle \vec{F} = q\,(\vec{v}\times\vec{B}) \)
It needs a velocity, and it is always perpendicular to the velocity, so it does no work.
(A) a charged particle in motion can experience a force — Correct. A moving charge feels the force \( qvB\sin\theta \) whenever its velocity is not along the field.
(B) a charged particle at rest, experiences a force — Incorrect. With \( \vec{v} = 0 \), the force \( q\,\vec{v}\times\vec{B} \) is zero.
(C) there is no change in the speed of the charged particle — Correct. A force perpendicular to the velocity changes only its direction, so the speed stays constant.
(D) there is a change in the kinetic energy of the charged particle. — Incorrect. The magnetic force does no work, so the kinetic energy does not change.
NCERT (2026-27):
Magnetic Field, Lorentz Force – “… (iii) The magnetic force is zero if charge is not moving (as then |v| = 0). Only a moving charge feels the magnetic force.”
Motion in a Magnetic Field – “… In the case of motion of a charge in a magnetic field, the magnetic force is perpendicular to the velocity of the particle. So no work is done and no change in the magnitude of the velocity is produced (though the direction of momentum may be changed).”