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Applyig bohr's model when H-atom comes f...

Applyig bohr's model when H-atom comes from n=4 to n=2, calcualte its wavelength. In this process, write whether energy is released or aborbed? Also write the range of radiation `R_(H)=2.18xx10^(-18)J,h=6.63xx10^(-34)J-s`

Text Solution

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Energy is released in this process, and the radiation will belong to visible region (Balmer series).
`E=(hc)/(lamda)=R_(H)Z^(2)[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
`(1)/(lamda)=(R_(H)Z^(2))/(hc)[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
`=(2.18xx10^(-18)xx1^(2))/(6.63xx10^(-34)xx3xx10^(8))[(1)/(4)-(1)/(16)]`
`=(2.18xx10^(-18)xx1^(2))/(6.63xx10^(-34)xx3xx10^(8))[(3)/(16)]`
`lamda=(6.63xx10^(-34)xx3xx10^(8)xx16)/(3xx2.18xx10^(-18))`
`=4866xx10^(-10)m`
`=4866` Ã…
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