Cesium atomic clocks are based on the emission of microwave radiation at 9,192,631,770 Hz by cesium-133.The wavelength corresponding to this frequency is closest in value to which of the following?

Question

Quizplus · Accepted Answer

The wavelength ($\lambda$) can be calculated using the formula $\lambda = \frac{c}{f}$, where $c$ is the speed of light ($3 \times 10^8$ m/s) and $f$ is the frequency (9,192,631,770 Hz). Plugging in the values, $\lambda = \frac{3 \times 10^8 \, \text{m/s}}{9,192,631,770 \, \text{Hz}} \approx 0.0326 \, \text{m}$ or approximately 3 cm.

Cesium Atomic Clocks Are Based on the Emission of Microwave