Answer:
the wavelength of the purple light emitted by potassium is 4.05 x 10^-7 meters.
Explanation:
To calculate the wavelength of the purple light emitted by potassium, we can use the formula:
wavelength = speed of light / frequency
1. Find the speed of light.
- The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s).
2. Substitute the given frequency into the formula.
- Given frequency: 7.40 x 10^14/s.
3. Calculate the wavelength.
- wavelength = (3.00 x 10^8 m/s) / (7.40 x 10^14/s)
- Simplifying the expression: wavelength = 4.05 x 10^-7 meters.
Therefore, the wavelength of the purple light emitted by potassium is 4.05 x 10^-7 meters.