AP EAMCET · PHYSICS · Magnetic Effects of Current
Two charged particles of specific charges in the ratio \(2: 1\) and masses in the ratio 1 : 4 moving with same kinetic energy enter a uniform magnetic field at right angles to the direction of the field. The ratio of the radii of the circular paths in which the particles move under the influence of the magnetic field is
- A \(2: 1\)
- B \(1: 1\)
- C \(4: 1\)
- D \(8: 1\)
Answer & Solution
Correct Answer
(B) \(1: 1\)
Step-by-step Solution
Detailed explanation
\(r = \frac{\sqrt{2KEm}}{qB}\) \(\frac{r_1}{r_2} = \sqrt{\frac{m_1}{m_2}} \cdot \frac{q_2}{q_1}\) \(\frac{q_1m_2}{q_2m_1} = 2 \implies \frac{q_2}{q_1} = \frac{1}{2} \frac{m_2}{m_1} = \frac{1}{2} \cdot 4 = 2\)…
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