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IF an electron enters into a space betwe...

IF an electron enters into a space between the plates of a parallel plate capacitor at an an angle `alpha` with the plates an leaves at an angle `beta` to the plates find the ratio of its kinetic energy while entering the capacitor of that while leaving.

A

`(sin^(2)beta)/(cos^(2)beta)`

B

`(cosbeta)/(cosalpha)`

C

`(cosbeta)/(sinalpha)`

D

`(cos^(2)beta)/(cos^(2)alpha)`

Text Solution

Verified by Experts

The correct Answer is:
D

`because v_(1)cosalpha=v_(2)cos beta`
`(v_(1))/(v_(2))=(cos beta)/(cos alpha)`
Then the ratio of kinetic energies
`(K_(1))/(K_(2))=((1)/(2)mv_(1)^(2))/((1)/(2)mv_(2)^(2))=((v_(1))/(v_(2)))^(2)=((cosbeta)/(cosalpha))^(2)`
`(K_(1))/(K_(2))=(cos^(2)beta)/(cos^(2)alpha)`
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