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Question

If an electron enters into a space between the plates of a parallel plate capacitor at an angle α with the plates and leaves at an angle β to the plates. The ratio of its kinetic energy while entering the capacitor to that while leaving will be

A
(cosαcosβ)2
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B
(cosβcosα)2
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C
(sinαsinβ)2
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D
(sinβsinα)2
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Solution

The correct option is B (cosβcosα)2
Let u be the velocity of electron while entering the field and v the velocity when it leaves the plates. Component of velocity parallel to plates will remain unchanged.
Hence,
ucosα=vcosβ
or uv=cosβcosα
The desired ratio is
12mu212mv2=(uv)2=(cosβcosα)2

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