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Calculate the energy of an electron having de-Broglie wavelength 5500Å. Given, `h=6.62xx10^(-34)Js, m_(e)=9.1xx10^(-31)kg`. |
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Answer» Correct Answer - `4.9xx10^(-6)eV` Here, `lambda=5500Å =5500xx10^(-10)m` `55xx10^(-8)m` de-Broglie wavelength associated with electron is `lambda=h/(sqrt(2m_(e)E)) or E=(h^(2))/(2m_(e)lambda^(2))=1/(2m_(e)) (h/lambda)^(2)` `:. E=1/(2xx(9.1xx10^(-31)))[(6.6xx10^(-34))/(55xx10^(-8))]^(2)` `=7.9xx10^(-25)J` `=(7.9xx10^(-25))/(1.6xx10^(-19))=4.9xx10^(-6)eV` |
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