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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Physics
Chapter
Electrostatics

AIIMS 2014 · Physics · Electrostatics

Assertion: If an electron and proton possessing same kinetic energy...

Assertion: If an electron and proton possessing same kinetic energy enter an electric field in a perpendicular direction, the path of the electron is more curved than that of the proton. Reason: Electron forms a larger curve due to its small mass.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion.
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion.
  3. CIf assertion is true but reason is false.
  4. DIf both assertion and reason are false.

Correct answer

D. If both assertion and reason are false.

Step-by-step solution

As qE=mv2r,r=mv2qE=2KqE(q E=\frac{m v^2}{r}, r=\frac{m v^2}{q E}=\frac{2 K}{q E} \quad\left(\right. where \left.K=\frac{1}{2} m v^2\right)i.e.,i.e.,r \propto \frac{1}{q}.Sinceelectronandprotonhaveequalcharge,. Since electron and proton have equal charge,risthesameforbothofthem.Here,is the same for both of them. Here,rdependsondepends onK (which is given to be the same for both the particles) and as such not on their masses.
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