An insulated small sphere carrying a positive charge is accelerated through a potential $V_{1}$ , producing a horizontal beam along the x-axis. The beam enters a perfectly uniform electric field parallel to the y-axis, produced by a parallel plate capacitor with potential difference, $V_{2}$ between the plates, which have separation d and are of length, L as shown in figured. Take $V_{1} = 2 V$ and $V_{2} = 1 V .$ Assume that collision of particle with the plates is perfectly elastic,

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If L = 105d, the angle made by velocity of particle with the x-axis just after emerging from the capacitor is $\tan^{-} (\frac{1}{2})$ .

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If L = 100 d, the number of collisions made by the particle with the plates of the capacitor is 25.

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If L = 100 d, the angle made by velocity of particle with the x-axis just after emerging from the capacitor is zero.

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