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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2015 · Physics · Magnetic Effects of Current

A proton and an alpha particle both enter a region of uniform...

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:

Options

  1. A0.5 MeV
  2. B1..5 MeV
  3. C1 MeV
  4. D4 MeV

Correct answer

C. 1 MeV

Step-by-step solution

R=mVqB=2m(kE)qBR = \dfrac{mV}{qB} = \dfrac{\sqrt{2m\left(kE\right)}}{qB}

Since R is same so KE ∝ \dfrac{{q}^{2}}{m}

So KE of α particle will be (2)24=1MeV\dfrac{{\left(2\right)}^{2}}{4} = 1MeV
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