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A photon and an electron have equal ener...

A photon and an electron have equal energy `E . lambda_("photon")//lambda_("electron")` is proportional to

A

`1/ sqrtE`

B

`1/E`

C

`E^(3//2)`

D

`sqrtE`

Text Solution

Verified by Experts

The correct Answer is:
A
For the photon , `E=hv = (hC)/(lamda)`
`therefore lamda_("photon") = (hC)/(E ) " and " lamda_("electron") = (h)/(sqrt(2mE))`
`therefore lamda_P/lamda_e = (hC)/( E) xx(sqrt(2mE))/(h) = C sqrt((2mE)/(E^2)) = Csqrt((2m)/(E ))`
`therefore lamda_P/lamda_e prop 1/sqrtE`
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