Verified Solution • 2025–26 Session moderate

QAIPM-2012-Ph-1654: NEET 2012 Physics - Class 12 AIPM-2012-Ph-1654 Solution: A proton carrying 1 MeV kinetic energy is moving in a circular…

A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an α\alpha-particle to describe a circle of same radius in the same field? 2 MeV 1 MeV 0.5 MeV 4 MeV

Multiple Choice Options

  • A 2 MeV
  • B 1 MeV
  • C 0.5 MeV
  • D 4 MeV

Step-by-Step Verified Solution

According to the principal of circular motion in a magnetic field F c = F m _ m v 2 R = q V B _ R = m v q B = P q B = 2 m . k q B R _ = 2 ( 4 m ) K _ 2 q B R R _ = K K _ but R = R _ (given) _ K = K' = 1 MeV

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