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  • A cubical block of mass mcontaining a net positive charge Qis placed on a smooth horizontal surface which terminates in a vertical wall. The distance between the wall and the block is d. Ahorizonta

A cubical block of mass mcontaining a net positive charge Qis placed on a smooth horizontal surface which terminates in a vertical wall. The distance between the wall and the block is d. Ahorizontal electric field E directed towards the wall is suddenly switched on. Assuming elastic collision (if any) the period of the resulting oscillation is-

Option: 1

\sqrt{\frac{4 m d}{Q E}}


Option: 2

\sqrt{\frac{8 m d}{Q E}}


Option: 3

\sqrt{\frac{m d}{8 Q E}}


Option: 4

\text { Not oscillate }


Answers (1)

best_answer


use newton's equation of motion-
\mathrm{\begin{aligned} & d=4 t+\frac{1}{2} a t^2 \\ & \stackrel{m}{\rightleftarrows} \\ & d=\frac{1}{2} a t^2=\frac{1}{2}\left(\frac{E Q}{m}\right) t^2 \\ & t=\sqrt{\frac{2 d m}{E Q}} \\ & T=2 t=2 \sqrt{\frac{2 d m}{E Q}}=\sqrt{\frac{8 d m}{Q E}} \text { Ans. } \\ & \end{aligned}}

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