An inclined plane making an angle of 30° with the horizontal is placed in a uniform horizontal electric field 200 N/C as shown in the figure. A body…

An inclined plane making an angle of $\displaystyle 30$° with the horizontal is placed in a uniform horizontal electric field $\displaystyle 200 \frac{\mathrm{~N}}{\mathrm{C}}$ as shown in the figure. A body of mass $\displaystyle 1$ kg and charge $\displaystyle 5$ mC is allowed to slide down from rest at a height of $\displaystyle 1$ m. If the coefficient of friction is $\displaystyle 0.2$, find the time taken by the body to reach the bottom. $\displaystyle \left[\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2 ; \sin 30^{\circ}=\frac{1}{2} ; \cos 30^{\circ}=\frac{\sqrt{3}}{2}\right]$