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JEE Advanced 2010Paper 2

Exam: JEE Advanced
Year: 2010
Paper: Paper 2
Subject: Chemistry
Chapter: Structure of Atom

JEE Advanced 2010 · Paper 2 · Chemistry · Structure of Atom

Paragraph: The hydrogen-like species Li^ 2+ is in a spherically...

Paragraph: The hydrogen-like species

\mathrm{Li}^{2+}

is in a spherically symmetric state

S_1

with one radial node. Upon absorbing light the ion undergoes transition to a state

S_2

. The state

S_2

has one radial node and its energy is equal to the ground state energy of the hydrogen atom.Question: Energy of the state

S_1

in units of the hydrogen atom ground state energy is

Options

A $0.75$
B $1.50$
C $2.25$
D $4.50$

Correct answer

C. $2.25$

Step-by-step solution

Energy of state,

S_1=-13.6\left(\frac{3^2}{2^2}\right) \mathrm{eV} /

atom

=\frac{9}{4}

of energy of

\mathrm{H}

-atom in ground state

=2.25

of energy of

\mathrm{H}

-atom in ground state

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