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MHT CET 2026 (16 Apr, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from MHT CET 2026 (16 Apr, Shift 1)

Q10MHT CET 2026 · 16 APR · SHIFT 1Medium

Moving Charge in a Magnetic Field

A charged particle is moving in a uniform magnetic field in a circular path of radius 'R'. When the energy of the particle becomes 3 times the original, the new radius will be

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Answer: (c)

  1. Radius r=mvqB=2mKqBr = \dfrac{mv}{qB} = \dfrac{\sqrt{2mK}}{qB}, so r∝Kr \propto \sqrt{K} for the same particle and field.
  2. K′=3K⇒r′=3 RK' = 3K \Rightarrow r' = \sqrt{3}\,R
  3. So the answer is (c) 3R\sqrt{3}R.
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