Answer:
1. frequency = 7.39 * 10¹⁴ Hz
2. wavelength = 1.44 * 10⁸ nm
Explanation:
The speed, frequency and wavelength of waves are related by the formula;
speed = wavelength * frequency
1. wavelength of light = 406 nm = 4.06 * 10⁻⁷ m
speed of light is a constant = 3.0 * 10⁸ m/s
From the formula above, frequency = speed / wavelength
therefore, frequency = (3.0 * 10⁸ m/s) / 4.06 * 10⁻⁷ m
frequency = 7.39 * 10¹⁴ Hz
2. From the equation above, wavelength = speed/frequency
speed of radiation = 3.0 * 10⁸ m/s
frequency = 2.09 * 10⁹ Hz or 2.09 * 10⁹ s⁻¹
therefore, wavelength = (3.0 * 10⁸ m/s) / 2.09 * 10⁹ s⁻¹
wavelength = 1.44 * 10⁸ nm
