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Class 12 › Physics › Moving Charges and Magnetism
CBSE2023Class Class 12 · Physics1 Marks · Long✅ Verified
Case Study (Charged particles): Two charged particles 1 and 2 have masses $m$ and $\frac{m}{2}$ and charges $-q$ and $+2q$ respectively. They are accelerated from rest through the same potential difference $V$, gaining kinetic energies $K_1$ and $K_2$, then enter a uniform magnetic field perpendicular to their velocities. Q: The ratio of their kinetic energies $\left(\dfrac{K_1}{K_2}\right)$ is:
✅ Answer & Solution
Kinetic energy gained on acceleration through potential difference $V$ equals the work done by the field: $$K = qV$$ (using magnitude of charge). For particle 1: $K_1 = qV$. For particle 2: $K_2 = 2qV$. $$\frac{K_1}{K_2} = \frac{qV}{2qV} = \frac{1}{2}$$ Hence the correct option is (A).