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The energy of separation of an electron ...

The energy of separation of an electron in a Hydrogen like atom in excited state is 3.5 eV. The de-Broglie wave length (in Å) associated with the electron is: (Given radius of I orbit of hydrogen atom is 0.53 Å)

A

`3.33`

B

`6.66`

C

`13.31`

D

`31.31`

Text Solution

Verified by Experts

The correct Answer is:
B
`2pi r_(n)=n lambda rArr 2pi xx 0.53 (n^(2))/(z)=n lambda, lambda=2pi xx 0.53 xx (n)/(z)`
`E_("sep")=3.4 =13.6 (z^(2))/(n^(2)) rArr (n)/(z) =2, lambda =2pi xx 0.53xx2=6.66`Å
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