If the momentum of an electron is change...

If the momentum of an electron is changed by `Delta p` , then the de - Broglie wavelength associated with it changes by `0.50 %`. The initial momentum of the electron will be

A

`(Deltap)/200`

B

`(Deltap)/199`

C

`199 Delta p`

D

`400 Deltap`

Text Solution

Verified by Experts

The correct Answer is:

C

`lamda=h/pimplieslamda-(0.5lamda)/100=h/(p+Deltap)=(199h)/(200p)=h/(p+Deltap)`
`p+Deltap=(200p)/(199)impliesp=199Deltap`

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