Question

The wavelengths of radio waves are much _________ than the wavelength of microwaves. Therefore, radio waves carry much ________ energy than a microwave.

A) longer , more

B) longer , less

C) shorter , more

D) shorter , less

Answer 1

The wavelengths of radio waves are much LARGER than the wavelength of microwaves. Therefore, radio waves carry much LESS energy than a microwave. 

Answer 2

Answer:

B) longer , less

Explanation:

The complete sentence is as follows:

The wavelengths of radio waves are much longer than the wavelength of microwaves. Therefore, radio waves carry much less energy than a microwave.

Typical wavelength values for radio waves are > meters (even kilometers or more), while typical wavelength values for microwaves are between a few millimeters and up to a few centimeters. Therefore, radio waves have much longer wavelength than microwaves.

However, the energy of a wave is inversely proportional to its wavelength, according to the equation:

$E=\frac{hc}{\lambda}$

where h is the Planck constant, c is the speed of light, and $\lambda$ the wavelength. Therefore, the longer the wavelength, the less the energy: and so, radio waves carry less energy than microwaves.