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NEET 2015 (AIPMT) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from NEET 2015 (AIPMT)

Q98NEET 2015 · AIPMTMedium

Moving Charge in a Magnetic Field

A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to the field B. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV, the energy acquired by the alpha particle will be

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Answer: (b)

  1. For equal rr in the same BB: K=q2B2r22m⇒K∝q2mK = \dfrac{q^2B^2r^2}{2m} \Rightarrow K \propto \dfrac{q^2}{m}.
  2. Proton: e2m\dfrac{e^2}{m}; alpha: (2e)24m=e2m\dfrac{(2e)^2}{4m} = \dfrac{e^2}{m}, the same.
  3. Kα=Kp=1K_\alpha = K_p = 1 MeV
  4. So the answer is (b) 1 MeV.
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