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If the energy of H-atom in the ground st...

If the energy of H-atom in the ground state is-E, the velocity of photo-electron emitted when a photon having energy `E_(rho)` strikes a stationary `Li^(2+)` ion in ground state, is given by: `v=sqrt((2(E_(rho)-E))/(m))`, `v=sqrt((2(E_(rho)+9E))/(m))`, `v=sqrt((2(E_(rho)-9E))/(m))`, `v=sqrt((2(E_(rho)-3E))/(m))`

A

`v= sqrt((2(E_(p)-E))/(m))`

B

`v= sqrt((2(E_(p)+9E))/(m))`

C

`v= sqrt((2(E_(p)-9E))/(m))`

D

`v= sqrt((2(E_(p)-3E))/(m))`

Text Solution

Verified by Experts

The correct Answer is:
C

Work function for `Li^(2+) =9E`.
`E_(p)=w+(1)/(2) mv^(2), E_(p)=9E +(1)/(2) mv^(2)`
`v= sqrt((2(E_(p)-9E))/(m))`
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