Q.
A particle having a mass of $10^{- 2}\ kg$ carries a charge of $5 \times 10^{- 8}C$. The particle is given an initial horizontal velocity of $10^{5}\ ms^{- 1}$ in the presence of electric field $\overrightarrow{E}$ and magnetic field $\overrightarrow{B}$. To keep the particle moving in a horizontal direction, it is necessary that
(1) $\overrightarrow{B}$ should be perpendicular to the direction of velocity and $\overrightarrow{E}$ should be along the direction of velocity
(2) Both $\overrightarrow{B}$ and $\overrightarrow{E}$ should be along the direction of velocity
(3) Both $\overrightarrow{B}$ and $\overrightarrow{E}$ are mutually perpendicular and perpendicular to the direction of velocity
(4) $\overrightarrow{B}$ should be along the direction of velocity and $\overrightarrow{E}$ should be perpendicular to the direction of velocity
Which of the following pairs of statements is possible
A) (1) and (3)
B) (3) and (4)
C) (2) and (3)
D) (2) and (4)
Explanation
The correct answer is Option C: (2) and (3).
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.