Question

Force constant of interatomic bond, in a certain element, is $1\text{ N m}^{-1}$. If the atom oscillates in SHM in a certain direction, what is its frequency? Given: Mole weight of the given element is $108\text{ g}$ and Avogadro's number $=023\times10^{23}\text{ g mol}^{-1}$.

• A. $0.005\times10^{12}\text{ s}^{-1}$
• B. $6.667\times10^{12}\text{ s}^{-1}$
• C. $1\times10^{12}\text{ s}^{-1}$
• D. $3.45\times10^{22}\text{ s}^{-1}$

Hint:

Vibrational frequencies of atoms inside solid elemental structures almost always fall in the Terahertz range ($10^{12}\text{ Hz}$). If your exponents track close to $10^{12}$, look for the option matching this characteristic order of magnitude right away!

Answer 1

The Correct Option is C