Final answer:
To calculate the frequency of an electromagnetic wave in a vacuum when given the amplitude of the magnetic component and the angular wave number, use the relationship f = kc / (2π), where k is the angular wave number, and c is the speed of light.
Step-by-step explanation:
To find the frequency of an electromagnetic wave in a vacuum when given the amplitude of the magnetic component and the angular wave number, we can use the relationship between the angular wave number (k) and the wave frequency (f). In a vacuum, the angular wave number is related to the frequency by the equation k = 2πf / c, where c is the speed of light in a vacuum (approximately 3.00 × 108 m/s). Therefore, to find the frequency, the equation can be rearranged to f = kc / (2π). Plugging in the given angular wave number of 4.40 rad/m, the equation becomes f = (4.40 rad/m) × (3.00 × 108 m/s) / (2π), which can then be used to calculate the frequency of the wave.