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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.
The magnitude of the electric field so that the electron just fails to strike the upper plate is

A
Kqd
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B
2Kqd
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C
K2qd
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D
Infinite
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Solution

The correct option is C K2qd

Hmaxd, where Hmax= maximum height electron can travel

u2sin2θ2a=d

θ=45and a=eEm

u2×12m2 × eE=d

12mu22Ee=d

12mu2=k

(k2Ee=d)

E=k2ed

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