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A proton and an electron have same kinet...

A proton and an electron have same kinetic energy. Which on has smaller de-Broglie wavelength and why ?

A

`lamda_pltlamda_e`

B

`lamda_p=lamda_e`

C

`lamda_pgtlamda_e`

D

`lamda_p=2lamda_e`

Text Solution

Verified by Experts

The correct Answer is:
C
`(K.E.)_e=E_(ph)`
`1/2mv^2=(hc)/(lamdaph)implies(h/(lamda_ev))v^2=(hc)/(lamdaph)`
`lamda_e/(lamdaph)=(v)/(2c) " "cgtv`
`lamdaphgtlamda_e`
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