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JEE Advanced 2008Paper 1

Exam: JEE Advanced
Year: 2008
Paper: Paper 1
Subject: Physics
Chapter: Atomic Physics

JEE Advanced 2008 · Paper 1 · Physics · Atomic Physics

Paragraph: In a mixture of H-H^ + gas (He^ + . is singly ionised He...

Paragraph: In a mixture of

\mathrm{H}-\mathrm{H}^{+}

gas \left(\mathrm{He}^{+}\right.

is singly ionised

\mathrm{He}

atom),

\mathrm{H}

atoms and

\mathrm{He}^{+}

ions are excited to their respective first excited states. Subsequently,

\mathrm{H}

atoms transfer their total excitation energy to

\mathrm{He}^{+}

ions (by collisions). Assume that the Bohr model of atom is exactly valid.<strong>Question:</strong> The ratio of the kinetic energy of the

n=2

electron for the

\mathrm{H}

atom to that of

\mathrm{He}^{+} ion is

Options

A $\frac{1}{4}$
B $\frac{1}{2}$
C1
D2

Correct answer

A. $\frac{1}{4}$

Step-by-step solution

Kinetic energy

K \propto Z^2\frac{K_H}{K_{\mathrm{He}^{+}}}=\left(\frac{1}{2}\right)^

2=

\frac{1}{4}\therefore

correct option is (a).

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