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MHT CET 2024 (4 May, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from MHT CET 2024 (4 May, Shift 1)

Q36MHT CET 2024 · 4 MAY · SHIFT 1Medium

Moving Charge in a Magnetic Field

A charged particle is moving in a uniform magnetic field in a circular path with radius ' RR '. When the energy of the particle is doubled, then the new radius will be

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Answer: (d)

  1. r=2mKqB⇒r∝Kr = \dfrac{\sqrt{2mK}}{qB} \Rightarrow r \propto \sqrt{K}
  2. K′=2K⇒r′=2 RK' = 2K \Rightarrow r' = \sqrt{2}\,R
  3. So the answer is (d) 2R\sqrt{2}R.
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