What is the maximum wavelength of electromagn | vedclass

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(B) The band gap energy is given as $E_g = 0.7 \ eV$. To create an electron-hole pair,the energy of the incident photon must be at least equal to the

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$1773 	imes 10^{-9} \ m$

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(B) The band gap energy is given as $E_g = 0.7 \ eV$. To create an electron-hole pair,the energy of the incident photon must be at least equal to the band gap energy,i.e.,$E = h
u = \frac{hc}{\lambda} \geq E_g$. For the maximum wavelength $\lambda_{max}$,the energy of the photon must be exactly equal to the band gap energy: $\frac{hc}{\lambda_{max}} = E_g$ $\lambda_{max} = \frac{hc}{E_g}$ Substituting the given values: $\lambda_{max} = \frac{4.136 	imes 10^{-15} \ eV \cdot s 	imes 3 	imes 10^8 \ m/s}{0.7 \ eV}$ $\lambda_{max} = \frac{12.408 	imes 10^{-7}}{0.7} \ m$ $\lambda_{max} \approx 17.7257 	imes 10^{-7} \ m$ Converting this to the required format: $\lambda_{max} \approx 1772.57 	imes 10^{-9} \ m \approx 1773 	imes 10^{-9} \ m$.

What is the maximum wavelength of electromagnetic radiation that can create an electron-hole pair in a material with a band gap of $0.7 \ eV$? (Planck's constant $h = 4.136 \times 10^{-15} \ eV \cdot s$,velocity of light $c = 3 \times 10^8 \ m/s$).

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