Medium MCQ +4 / -1 PYQ · JEE Mains 2022

A long cylindrical volume contains a uniformly distributed charge of density $\rho$. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is :

  1. A ${{\rho q{R^2}} \over {4{\varepsilon _0}}}$ Correct answer
  2. B ${{\rho q{R^2}} \over {2{\varepsilon _0}}}$
  3. C ${{q\rho } \over {4{\varepsilon _0}{R^2}}}$
  4. D ${{4{\varepsilon _0}{R^2}} \over {q\rho }}$

Solution

<p>${{m{v^2}} \over r} = {{2k\rho \times \pi {R^2}q} \over r}$</p> <p>$\Rightarrow {1 \over 2}m{v^2} = {{\rho {R^2}q} \over {4{\varepsilon _0}}}$</p>

About this question

Subject: Physics · Chapter: Electrostatics · Topic: Electric Field and Field Lines

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