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Allisa [31]
4 years ago
3

A beam of light is shined on a thin (sub-millimeter thick) single crystal wafer of material. The light source is special since i

t can be tuned to provide any wavelength of visible light on demand. The specimen is illuminated such that the wavelength of light is increased over time while the transmitted intensity of the light is measured. If the sample becomes transparent when the wavelength is greater than 690 nanometers, what is the band gap of the material, in eV
Physics
1 answer:
Soloha48 [4]4 years ago
7 0

Answer:

The energy gap of the material is E_G = 1.7982 eV

Explanation:

From the question we are told that

    The wavelength is \lambda = 690 nm

The band gap of the material can be mathematically represented as

               E_G = \frac{h c}{\lambda }

Where h is the Planck constant with value  h = 6.626 *10^{-34}  joule \cdot sec

           c is the speed of light with a value c = 3.0*10^8

    Substituting value

              E_G =\frac{6.626 *10^{-34} 3 *10^{8}}{690 *10^{-9}}

                   = 2.8809 *10^{-19}J

Now converting to eV we divide by the charge on on electron. the value is  

        e = 1.602 *10^{-19 } C

     so

         E_G = \frac{2..8809 *10^{-19}}{1.602 *10^{-19}}

         E_G = 1.7982 eV

             

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Explanation:

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