If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 $\mathrm{n}\mathrm{m}$   , then its band gap energy is:

Planck's constant $h=6.63\times {10}^{-34}$ J.s.

Speed of light $\mathrm{}\mathrm{c}=3\times {10}^8\mathrm{m}/\mathrm{s}$  

<p>Band gap energy <span contenteditable="false"> <math> <mo>=</mo> <mfrac> <mrow> <mrow> <mi mathvariant="normal">h</mi> <mi mathvariant="normal">c</mi> </mrow> </mrow> <mrow> <mrow> <mi>λ</mi> </mrow> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mrow> <mn>1240</mn> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">V</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">m</mi> </mrow> </mrow> <mrow> <mrow> <mn>400</mn> <mtext> </mtext> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">m</mi> </mrow> </mrow> </mfrac> <mo>=</mo> <mn>3.1</mn> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">V</mi> </math> </span>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p>

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