the wavelength of an electromagnetic wave is ____________.
a. directly proportional to its frequency
b.inversely proportional to its velocity
c. inversely proportional to its frequency
d. none of the above
To determine the correct answer, we can rely on the fundamental properties of electromagnetic waves. The wavelength of an electromagnetic wave refers to the distance between two consecutive peaks or troughs of the wave.
According to the relationship between wavelength, frequency, and velocity of an electromagnetic wave:
Wavelength = Speed of Light / Frequency
From this equation, we can deduce the following:
a. Wavelength is directly proportional to its frequency: This option is incorrect because the equation shows that wavelength is inversely proportional to frequency.
b. Wavelength is inversely proportional to its velocity: This option is incorrect because the equation does not include velocity as a factor in the relationship between wavelength and frequency.
c. Wavelength is inversely proportional to its frequency: This option is correct. As shown in the equation, an increase in frequency will result in a decrease in wavelength, and vice versa.
d. None of the above: Since option c is the correct answer, this option is incorrect.
Therefore, the correct answer is: c. inversely proportional to its frequency.