JEE Main20257 Apr 2025Morning ShiftPhysicsMagnetic Effects of CurrentActual
Uniform magnetic fields of different strengths (B₁ . and B₂ ), both normal to the plane of the paper exist as shown in the figure. A charged particle of mass m and charge q , at the interface at an instant, moves into the region 2 with velocity v and returns to the interface. It continues to move into region 1 and finally reaches the interface. What is the displacement of the particle during this movement along the i
Options
- Amv qB ₁ (1- B ₂ ~B ₁ ) 2
- Bmv qB ₁ (1- B ₁ ~B ₂ )
- Cmv qB ₁ (1- B ₂ ~B ₁ )
- Dmv qB ₁ (1- B ₁ ~B ₂ ) 2
Correct answer
D. mv qB ₁ (1- B ₁ ~B ₂ ) 2
Step-by-step solution
As v is to B , so charge particle will move in circular path, whose radius is given by R = mv qB Starting point A Ending point C Net displacement = AC aligned & AC = CD - AD & AC = 2 mv qB ₁ - 2 mv qB ₂ & AC = 2 mv qB ₁ [1- B ₁ ~B ₂ ] aligned