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PhysicsMediumNumerical2023 ยท 01 Feb Shift 1

Q30.A light of energy 12 . 75 eV is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its excited states. The angular momentum of the atom in the excited state is ๐‘ฅ โ€“ 15 โ€“ ๐œ‹ร— 10-17 eVs. The value of ๐‘ฅ is ______ (use โ„Ž= 4 . 14 ร— 10 eVs, ๐‘= 3 ร— 108 m s 1)

What This Question Tests

This question tests the ability to determine the excited state of a hydrogen atom after absorbing a photon and then calculate the angular momentum in that state.

Concepts Tested

Energy levels in Hydrogen atomQuantization of angular momentumPhoton absorption

Formulas Used

E_n = -13.6/nยฒ eV

L_n = n h / 2ฯ€

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