In the figure the electric lines on the right have twice the separation of those on the left. If a charge…

In the figure the electric lines on the right have twice the separation of those on the left. If a charge particle takes time $t$ to move a distance $x$ in left region, then it will take time to travel the same distance in the right side region is :
  1. $\frac{t}{2}$
  2. $t$
  3. $\sqrt{2} t$
  4. $\quad 2 t$

Solution

$x=\frac{1}{2} a t^{2}=\frac{1}{2}\left(\frac{E q}{m}\right) t^{2}$ and $x=\frac{1}{2}\left(\frac{E q}{2 m}\right) t^{\prime 2}$
$\therefore t^{\prime}=\sqrt{2} t$ *

Asked in: JEE Mains - Electrostatics - Test 2

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