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It is known that the average kinetic energy of a free electron, in a metal, is 3/2 kT. The (average) deBroglie wavelength, associated with the free electrons in a metal, maintained at a temperature T, is equal to the wavelength of a photon of energy E. The graph that correctly depicts the relation, between T and E, is the graph labelled as graph

(1) A

(2) B 

(3) C 

(4) D

1 Answer

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Best answer

Correct option : (3) C

Explanation : 

The (average) deBroglie wavelength, associated with the free electrons, in a metal, at a temperature T, is given by

The wavelength, λ, associated with a photon of energy E, is given by E = hc/λ

It is graph C that corresponds to this relation.

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