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The electron energy in hydrogen atom is given by `E_(n)=(-2.18xx10^(-8))//n^(2)J`. Calculate the energy required to remove an electron completely from the `n=2` orbit. What is the longest wavelength of light in cm that can be used to cause this transition? |
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Answer» The energy in the second Bohr orbit `E_(2)=(21.7xx10^(-19))/((2)^(2))J=-5.44xx10^(-19)J` For the removal of electron has to be moved to an infinite distance for which `n=oo` and `E_(oo)=(-2.177xx10^(-18)J)/((oo)^(2))=0` `DeltaE=E_(oo)-E_(2)=0-(-5.44xx10^(-19)J)` `=5.44xx10^(-19)J` =Energy needed to remove the electron from second Bohr orbit of `H` atom Energy of photon, `E=hv`=Ionisation energy `:.DeltaE=hv=(hc)/lambda=5.44xx10^(-19)J` and `lambda=(hc)/(DeltaE)=(6.6xx10^(-34)J sxx3xx10^(8) m s^(-1))/(5.44xx10^(-19)J)` `=3.64xx10^(-7) m=364xx10^(-9) m=3640 Å` |
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