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If the ionisation potential for hydrogen...

If the ionisation potential for hydrogen atom is 13.6 eV, then the ionisation potential for `He^(+)` ion should be

A

54.4 eV

B

6.8 eV

C

13.6 eV

D

24.5 eV

Text Solution

Verified by Experts

The correct Answer is:
A
(a) For hydrogen atom Z=1
`:.` Ionisation energy, `E_(H)=(2pi^(2)me^(4))/(n^(2)h^(2)) " " ...(i)`
For `He^(+)` ion, `(He^(+)=1s^(1))`
so, `(He^(+)=H)` ionisation energy ,
`E_(He^(+))=(2pi^(2)me^(4)Z^(2))/(n^(2)h^(2)) " " ...(ii)`
Eq (i)/Eq (ii), we get
`E_(He^(+))=E_(H)xxZ^(2)=136xx4`
=54.4 eV
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