CUET · PHYSICS · PYQ PAPER 2025
The angular momentum of an electron moving in the circular path of diameter D in a uniform magnetic field \( B_0 \) is:
- A zero
- B \( \frac{eB_0D}{2} \)
- C \( \frac{eB_0D^2}{2} \)
- D \( \frac{eB_0D^2}{4} \)
Answer & Solution
Correct Answer
(D) \( \frac{eB_0D^2}{4} \)
Step-by-step Solution
Detailed explanation
\(evB_0 = \frac{mv^2}{R}\) \(mv = eB_0R\) \(L = mvr = (eB_0R)R = eB_0R^2\) \(L = eB_0 \left(\frac{D}{2}\right)^2 = \frac{eB_0D^2}{4}\)
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