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JEE Main 20149 AprilOnline
Exam
JEE Main
Year
2014
Date
9 April
Mode
Online
Subject
Physics
Chapter
Atomic Physics

JEE Main 2014 · 9 April · Online · Physics · Atomic Physics

If the binding energy of the electron in a hydrogen atom is 13 ....

If the binding energy of the electron in a hydrogen atom is 13.6eV13 . 6eV, the energy required to remove the electron from the first excited state of Li++{Li}^{+ +} is :

Options

  1. A13.6eV13 . 6eV
  2. B3.4eV3 . 4eV
  3. C122.4eV122 . 4eV
  4. D30.6eV30 . 6eV

Correct answer

D. 30.6eV30 . 6eV

Step-by-step solution

Energy of an electron in nth orbit of an ion with atomic number zz is, E=−13.6×z2n2eVE = - 13 .6 \times \dfrac{{z}^{2}}{{n}^{2}}eV

for 1st{1}^{st} excited state of Li++,z=3,n=2L{i}^{+ +}, z = 3, n = 2

E=−13.6×32n2=−13.6×94eVE = - 13 .6 \times \dfrac{{3}^{2}}{{n}^{2}} = - 13 .6 \times \dfrac{9}{4}eV

=−30.6eV= - 30 .6 eV

∴∴ Required energy =30.6eV= 30 . 6eV
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