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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Dual Nature of Matter

Olympiad workbook · NSEP · Dual Nature of Matter

The force of attraction between the positively charged nucleus and...

The force of attraction between the positively charged nucleus and the electron in a hydrogen atom is given by

f=k \frac{e^2}{r^2}

. Assume that the nucleus is fixed. The electron, initially moving in an orbit of radius

R_1

jumps into an orbit of smaller radius

R_2

. The decrease in the total energy of the atom is

Options

A $\frac{k e²}{2} \left(\frac{1}{R_1}-\frac{1}{R_2}\right)$
B $\frac{k e²}{2} \left(\frac{R_1}{R_2^2}-\frac{R_2}{R_1^2}\right)$
C $\frac{k e²}{2} \left(\frac{1}{R_2}-\frac{1}{R_1}\right)$
D $\frac{k e²}{2} \left(\frac{R_2}{R_1^2}-\frac{R_1}{R_2^2}\right)$

Correct answer

C. $\frac{k e²}{2} \left(\frac{1}{R_2}-\frac{1}{R_1}\right)$

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