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The deBroglie wavelength of a particle o...

The deBroglie wavelength of a particle of kinetic energy K is `lamda`. What would be the wavelength of the particle, if its kinetic energy were `(K)/(4)`?

A

`lamda`

B

`2lamda`

C

`(lamda)/(2)`

D

`4lamda`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) : de Broglie wavelength, `lamda=(h)/(sqrt(2mK))` . . . (i)
When the kinetic energy is `(K)/(4)` then
`lamda^(')=(h)/(sqrt(2m(K//4)))=(2h)/(sqrt(2mK))=2 lamda` (Using (i))
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