JEE MainPhysicsMagnetic Effects of Current
A positive ion is moving along the positive x-axis. Wait, no, let me re-read the blueprint. Ah, the blueprint says positive y-axis. Let me write it carefully. A positive ion is moving along the positive y-axis. It experiences a magnetic force along the positive z-axis due to a uniform magnetic field which is perpendicular to its velocity. Consider the following statements: A. The magnetic field is directed along the
Options
- AA and C only
- BB and D only
- CB and C only
- DA and D only
Correct answer
C. B and C only
Step-by-step solution
The magnetic force on a moving charge is given by F = q( v B ) . Given that the charge q is positive, the velocity v = v j , and the force F = F k . Substituting the directions, we get k = j B . Since j (- i ) = k , the magnetic field must be directed along the negative x-axis ( - i ). Thus, statement B is correct. The magnetic force is always perpendicular to the velocity of the particle, so it does zero work. Consequently, the speed and kinetic energy of the ion remain constant. Thus, statement C is correct. Sinc