If an object executes 10 oscillations per second, then its frequency in kilohertz is equal to:

0.01

The correct answer is option 4. 0.01

To convert the frequency from oscillations per second to kilohertz (kHz), we divide the frequency value by \(10^3\), as 1 kHz is equal to \(10^3\) hertz.

Given that the object executes 10 oscillations per second, we can calculate its frequency in kilohertz as follows:

\[ \text{Frequency (kHz)} = \frac{\text{Frequency (Hz)}}{10^3} \]

\[ \text{Frequency (kHz)} = \frac{10}{10^3} = \frac{1}{100} = 0.01 \]

Therefore, the frequency in kilohertz is 0.01.