Introduction:
A bat is a mammal that uses sound waves to navigate and locate objects in its environment. It emits high-frequency sound waves and listens for the echoes to determine the location and distance of objects. In order to determine the wavelength of sound at a frequency of 120 kilohertz (kHz) in air, we need to use the formula:

Wavelength = Speed of Sound / Frequency

Given:
Frequency = 120 kilohertz (kHz) = 120,000 Hertz (Hz)
Speed of Sound in air = 344 meters per second (m/s)

Calculation:
Using the given formula, we can calculate the wavelength of sound at a frequency of 120 kHz in air.

Wavelength = Speed of Sound / Frequency
Wavelength = 344 m/s / 120,000 Hz

To solve this, we need to convert the frequency from Hz to kHz by dividing it by 1,000.

Wavelength = 344 m/s / (120,000 Hz / 1,000)
Wavelength = 344 m/s / 120 kHz

Result:
The wavelength of sound in air at a frequency of 120 kilohertz is approximately 2.87 meters (m).

Explanation:
- A wavelength is the distance between two consecutive points in a wave that are in phase, such as two peaks or two troughs.
- The speed of sound in air is the rate at which sound waves travel through the air. It depends on various factors such as temperature, humidity, and altitude.
- In this case, the speed of sound in air is given as 344 m/s.
- The frequency of sound is the number of waves that pass a point in a given time. It is measured in hertz (Hz).
- The frequency given is 120 kHz, but we need to convert it to Hz before calculating the wavelength.
- Dividing the frequency by 1,000 gives us the frequency in Hz (120,000 Hz).
- Using the formula for wavelength, we divide the speed of sound by the frequency to find the wavelength.
- After performing the calculation, we find that the wavelength of sound at a frequency of 120 kHz in air is approximately 2.87 meters.