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JEE Main 2022 (25 Jul, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from JEE Main 2022 (25 Jul, Shift 1)

Q56JEE Main 2022 · 25 JUL · SHIFT 1Medium

Moving Charge in a Magnetic Field

Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is 6:56 : 5 and their respective masses ratio is 9:49 : 4. Then, the ratio of their charges will be:

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Answer: (b)

  1. r=2mKqB⇒q∝mrr = \dfrac{\sqrt{2mK}}{qB} \Rightarrow q \propto \dfrac{\sqrt{m}}{r} for equal KK and BB.
  2. q1q2=94×56=32×56=54\dfrac{q_1}{q_2} = \sqrt{\dfrac{9}{4}} \times \dfrac{5}{6} = \dfrac{3}{2} \times \dfrac{5}{6} = \dfrac{5}{4}
  3. So the answer is (b) 5 : 4.
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