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The wavelengths of electron waves in two...

The wavelengths of electron waves in two orbits is 3:5. The ratio of kinetic energy of electrons will be

A

`25:9`

B

`5:3`

C

`9:25`

D

`3:5`

Text Solution

Verified by Experts

The correct Answer is:
A

We know `lamda=(h)/(sqrt(2Em))`
`(lamda_(1))/(lamda_(2))=sqrt((E_(2))/(E_(1)))`
`(3)/(5)=sqrt((E_(2))/(E_(1)))`
`thereforeE_(1):E_(2)=25:9`
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