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A doubly ionized lithium atom is hydroge...

A doubly ionized lithium atom is hydrogen like atom with atomic
. number 3. Find the wavelength of the radiation to excite the electron in
. `Li^(2+)` from the first to the third Bohr orbit. The ionization energy of the hydrogen
. Atom is 13.6V.

A

`134.25 Å`

B

`125.5 Å`

C

`113.7 Å`

D

`110 Å`

Text Solution

Verified by Experts

The correct Answer is:
C
Required energy `= [((-13.6)/(9))] - [((-13.6)/(1))] xx 9`
`= [13.6 - (13.6)/(9)] 9 = 8 xx 13.6 eV`
wavelength `= (12375)/(8 xx 13.6) = 113.7 Å`
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