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AIIMS 2003
Exam
AIIMS
Year
2003
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2003 · Physics · Magnetic Effects of Current

An electron is travelling along the x -direction. It encounters a...

An electron is travelling along the xx-direction. It encounters a magnetic field in the yy-direction. Its subsequent motion will be

Options

  1. Astraight line along the xx-direction
  2. Ba circle in the xzx z plane
  3. Ca circle in the yzy z plane
  4. Da circle in the xyx y plane.

Correct answer

B. a circle in the xzx z plane

Step-by-step solution

We know that the force on a charged particle ee due to a magnetic field is given by F⃗=e(v⃗×B⃗) Here v⃗=vx=i^ and B⃗=Byj^∴F⃗=evxBy(i^×j^)=evxByk^\begin{array}{ll} & \vec{F}=e(\vec{v} \times \vec{B}) \\ \text{ Here } \vec{v}=v_x=\hat{i} \text{ and } \vec{B}=B_y \hat{j} \\ \therefore \quad & \vec{F}=e v_x B_y(\hat{i} \times \hat{j})=e v_x B_y \hat{k} \end{array} Therefore the subsequent motion of the charged particle will be a circle in the xzx z plane.
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