Question

What is the wavelength of electromagnetic radiation if its frequency is 3.2x10^-2 hz?

Answer 1

The wavelength of electromagnetic radiation with a frequency of 3.2 x 10^-2 Hz is approximately 9.375 x 10^9 meters, which places it in the category of radio waves in the electromagnetic spectrum.

Step-by-step explanation:

The frequency of an electromagnetic radiation is inversely proportional to its wavelength. According to the equation c = fλ, where c is the speed of light in a vacuum (approximately 3.00 × 108 m/s), f is the frequency, and λ is the wavelength.

Using the provided frequency of 3.2 x 10-2 Hz, we can rearrange the equation to solve for λ: λ = c / f. Plugging in the numbers gives us λ = (3.00 × 108 m/s) / (3.2 x 10-2 Hz), which results in a wavelength of approximately 9.375 × 109 meters. This is an extremely long wavelength, which falls within the range of radio waves.

Answer 2

The wavelength is 9,375,000,000 meters. The equation relating frequency and wavelength is wavelength = speed of light / frequency. Using the values provided, along with the speed of light constant of 3*10^8 meters per second: wavelength = (3*10^8) / (3.2*10^-2) = 9,375,000,000. This is a very long wavelength and probably cannot be detected.