question_answer

The electric conductivity of an intrinsic semiconductor increases when the electromagnetic waves of wavelength equal or shorter than \[2475\text{ }nm\] is incident on it. The charge carrier concentration of this semiconductor at room temperature is \[1.6\times {{10}^{16}}{{m}^{-3}}\] and the mobilities of electrons and holes at the same temperature are \[0.4\,{{m}^{2}}\,{{V}^{-1}}\,{{S}^{-1}}\] and \[0.2\,{{m}^{2}}\,{{V}^{-1}}\,{{S}^{-1}}\] respectively Regarding these information the band gap B is

A)  \[B=0.5\,eV\]

B)  \[B=1.3\,eV\]

C)  \[B=1.54\times {{10}^{-3}}eV\]

D)  None of these