1.

Employing the uncertainty principle, estimate the minimum kinetic energy of an electron confined within a region whose sizes is l=0.20nm.

Answer»

Solution :Clearly `Deltax le L" so" DELTA p_(x),ge(ħ)/(l)`
Now `p_(x)geDeltaP_(x)` and so
`T=(p_(x)^(2))/(2m) ge (ħ^(2))/(2ML^(2))`
Thus `T_(min)=(ħ^(2))/(2m l^(2))~=0.95eV`


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