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Question

An electron is projected as shown in the figure, with kinetic energy K, at an angle θ=45
between two charged plates. Ignore the gravity.
At what distance from the starting point will the electron strike the lower plate?

A
d
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B
2d
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C
3d
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D
4d
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Solution

The correct option is D 4d
Let R be the range of the projectile.
Hmaxd, where Hmax= maximum height electron can travel

u2sin2θ2a=d

As θ=45
d=u24a......(i)
We know that range R is given by
R=u2sin2θa
R=u2a.......................(ii)
From (i) and (ii) we can say
R=4d

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