Answer
See work below.
Work Step by Step
The units of $\frac{\hbar^2}{I}$ are:
$$\frac{(J \cdot s)^2}{kg \cdot m^2}=\frac{J^2}{(kg \cdot m/s^2)m}=\frac{J^2}{N\cdot m}=J$$
The unit is a joule, which is a unit of energy.
Physics: Principles with Applications (7th Edition)
by Giancoli, Douglas C.
Published by
Pearson
ISBN 10:
0-32162-592-7
ISBN 13:
978-0-32162-592-2
Chapter 29 - Molecules and Solids - Problems - Page 854: 7
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