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If proton and electron have same de-Brog...

If proton and electron have same de-Broglie wavelength then….

A

both will have same kinetic energy

B

kinetic energy of proton will be more than kinetic energy of electron

C

kinetic energy of electron will be more than kinetic energy of proton

D

Both will have same velocity

Text Solution

Verified by Experts

The correct Answer is:
C
de-Broglie wavelength `lambda=(h)/(mv)`
Here `lambda` is same (given)
`therefore (h)/(m_(p)v_(p))=(h)/(m_(e)v_(e))`
`therefore m_(p)v_(p)=m_(e)v_(e)`
`(v_(p))/(v_(e))=(m_(e))/(m_(p))`
`therefore (E_(p))/(E_(e))=((1)/(2)m_(p)vp^(2))/((1)/(2)m_(2)v_(e)^(2))`
`=(m_(p))/(m_(e))xx((m_(e))/(m_(p)))^(2)=(m_(e))/(m_(p))`
but `m_(e)ltm_(p)` thus `(m_(e))/(m_(p))lt1`
`therefore (E_(P))/(E_(e))lt1 therefore E_(P)ltE_(e)`
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