Question

One of the shortest electromagnetic wavelengths comes from x rays, and one of the longest electromagnetic wavelengths comes from radio waves. The wavelength of an x ray is 10⁻¹² meter and is 10¹⁶ times shorter than the wavelength of a radio wave. What is the wavelength of a radio wave?

Answer 1

The wavelength of the radio wave is 10⁴ meters or 10,000 meters, which is calculated by multiplying the x-ray's wavelength of 10⁻¹² meters by 10¹⁶.

Step-by-step explanation:

The student's question asks for the calculation of the wavelength of a radio wave given that it is 10¹⁶ times longer than the wavelength of an x-ray, which has a wavelength of 10⁻¹² meter. To find the wavelength of the radio wave, we multiply the x-ray's wavelength by 10¹⁶. Since the given wavelength of the x-ray is 10⁻¹² meters, the calculation is as follows:

Wavelength of radio wave = 10⁻¹² meters × 10¹⁶ = 10⁴ meters.

Therefore, the wavelength of the radio wave is 10⁴ meters, which equals 10,000 meters.