Question

Which graph correctly displays the relationship between wavelength, in meters, and frequency, in hertz, in the electromagnetic spectrum?

A.
image

B.
image

C.
image

D.
image

Answer 1

To determine which graph accurately depicts the relationship between wavelength and frequency in the electromagnetic spectrum, we need to recall the relationship expressed by the equation:

\[ c = \lambda \cdot f \]

where:
- \( c \) is the speed of light (approximately \( 3 \times 10^8 \) meters/second),
- \( \lambda \) is the wavelength in meters,
- \( f \) is the frequency in hertz.

From this equation, we can derive that:

- Wavelength (\( \lambda \)) is inversely proportional to frequency (\( f \)). This means that as wavelength increases, frequency decreases, and vice versa.

In graphical terms, this relationship would typically show a curve (or a hyperbola) that slopes downward from left to right, illustrating that higher frequencies correspond to shorter wavelengths and lower frequencies correspond to longer wavelengths.

If you can provide descriptions of the images or graphs labeled A, B, C, and D, I would be able to help you determine which one correctly represents this relationship!