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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3as108

A hydrogen atom in its ground state interacts with photons (not electrons) of the energies below. Take $E_{1} = - 13.6 eV$ . Select the correct statements.

AA $12.09 eV$ photon can be absorbed
BA $10.2 eV$ photon can be absorbed
CA $14.0 eV$ photon can be absorbed, leaving a free electron of about $0.4 eV$ kinetic energy
DAn $11.0 eV$ photon can be absorbed

Answer: A, B, C

Photons are absorbed only if the energy equals a gap (

10.2

eV for

1 \to 2

,

12.09

eV for

1 \to 3

) or exceeds

13.6

eV (ionisation).

11.0

eV matches no gap and is below

13.6

eV.

14.0

eV ionises the atom, leaving

14.0 - 13.6 = 0.4

eV as kinetic energy.

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