1.

The wavelength lambda_(e) of an electron and lambda_(P) of a photon of same energy E are related by:

Answer»

<P>`lambda_(p)proplambda_(e)^(2)`
`lambda_(p)proplambda_(e)`
`lambda_(p) prop SQRT(lambda_(e))`
`lambda_(p)prop(1)/(sqrt(lambda_(e)))`

SOLUTION :Wavelength of electron,
`lambda_(e)=(h)/(sqrt(2mE))`
`therefore lambda_(e)^(2)=(h^(2))/(2mE) thereforeE=(h^(2))/(2mlambda_(e)^(2))`
Wavelength of photon,
`lambda_(p)=(hc)/(E )=(hc)/((h^(2))/(2mlambdae^(2)))=(2mclambda_(e)^(2))/(h)`
`therefore lambda_(p) prop lambda_(2)^(2) [because (2MC)/(h)="constant"]`


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