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TS EAMCET · Physics · Magnetic Effects of Current

Two charged particles \(A\) and \(B\) of masses \(m\) and \(2 m\), charges \(2 q\) and \(3 q\) respectively moving with same velocity enter a uniform magnetic field such that both the particles make same angle ( \( \lt 90^{\circ}\) ) with the direction of the magnetic field. Then the ratio of the pitches of the helical paths of the particles \(A\) and \(B\) is

  1. A \(4: 3\)
  2. B \(3: 2\)
  3. C \(3: 4\)
  4. D \(2: 3\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3: 4\)

Step-by-step Solution

Detailed explanation

The pitch of the helical path in uniform magnetic field is given by \(\begin{aligned} p & =\frac{2 \pi m}{q^B}(v \cos \theta) \\ & \Rightarrow p \alpha \frac{m}{q} \end{aligned}\)…
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