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(C) In a semiconductor,at $0 \ K$,all electrons are in the valence band,and no electrons are present in the conduction band. Therefore,there are no fr

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$A, C, D$ are true but $B$ is false.

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(C) In a semiconductor,at $0 \ K$,all electrons are in the valence band,and no electrons are present in the conduction band. Therefore,there are no free electrons at $0 \ K$. Thus,statement $(A)$ is true.As the temperature increases,electrons gain thermal energy,which allows them to break covalent bonds and move into the conduction band. Consequently,the number of free electrons increases with temperature. Thus,statement $(C)$ is true.Statement $(B)$ is false because free electrons are generated as temperature increases.In a semiconductor,the number of free electrons is significantly lower than in a conductor because most electrons are bound in the lattice structure. Thus,statement $(D)$ is true.Therefore,statements $(A), (C),$ and $(D)$ are true,while $(B)$ is false.

Consider the following statements regarding a semiconductor:
$(A)$ There are no free electrons at $0 \ K$.
$(B)$ There are no free electrons at any temperature.
$(C)$ The number of free electrons increases with temperature.
$(D)$ The number of free electrons is less than that in a conductor.

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Consider the following statements regarding a semiconductor:$(A)$ There are no free electrons at $0 \ K$.$(B)$ There are no free electrons at any temperature.$(C)$ The number of free electrons increases with temperature.$(D)$ The number of free electrons is less than that in a conductor.