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NEET PHYSICSEasy

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron:

A

will turn towards right of direction of motion

B

will turn towards left of direction of motion

C

speed will decrease

D

speed will increase

Step-by-Step Solution

  1. Analyze Magnetic Force (FmF_m): The magnetic force on a moving charge is given by Fm=q(v×B)\vec{F}_m = q(\vec{v} \times \vec{B}). Since the electron is projected along the direction of the magnetic field, the velocity vector v\vec{v} is parallel to the magnetic field vector B\vec{B} (θ=0\theta = 0^\circ). Therefore, Fm=qvBsin(0)=0\vec{F}_m = qvB \sin(0^\circ) = 0. The magnetic field exerts no force and causes no deflection.
  2. Analyze Electric Force (FeF_e): The electric force is given by Fe=qE\vec{F}_e = q\vec{E}. The electron carries a negative charge (q=eq = -e). Since the electric field E\vec{E} acts in the same direction as the velocity, the force on the electron acts in the opposite direction to the field (and thus opposite to the velocity).
  3. Conclusion: The electric force acts as a retarding force opposing the motion. Consequently, the electron decelerates, and its speed decreases .
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