TS EAMCET · Physics · Magnetic Effects of Current
Two ions having masses in the ratio \(1: 1\) and charges \(1: 2\) are projected into uniform magnetic field perpendicular to the field with speeds in the ratio \(2: 3\). The ratio of the radii of circular paths along which the two particles move is :
- A \(4: 3\)
- B \(2: 3\)
- C \(3: 1\)
- D \(1: 4\)
Answer & Solution
Correct Answer
(A) \(4: 3\)
Step-by-step Solution
Detailed explanation
\(m_1: m_2=1: 1\) \(q_1: q_2=1: 2\) \(v_1: v_2=2: 3\) Radius of path of chaged particle moving in uniform magnetic field, \(r=\frac{m v}{B q}\) \(\therefore \quad \frac{r_1}{r_2}=\left(\frac{m_1}{m_2}\right)\left(\frac{v_1}{v_2}\right) \times\left(\frac{q_2}{q_1}\right)\)…
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