Question

complete the statements about electromagnetic waves in space: 1 if the wavelength increases, frequency 2 if the wavelength increases, speed

Explanation:

Step1: Recall wave - speed formula

The speed of an electromagnetic wave in space is given by $c = \lambda f$, where $c$ is the speed of light in space ($c\approx3\times 10^{8}\ m/s$), $\lambda$ is the wavelength and $f$ is the frequency.

Step2: Analyze the relationship between wavelength and frequency

From $c = \lambda f$, we can express $f=\frac{c}{\lambda}$. Since $c$ is a constant in space, when $\lambda$ increases, $f$ decreases.

Step3: Analyze the relationship between wavelength and speed

The speed of electromagnetic waves in space is a constant value, the speed of light $c$. So when the wavelength increases, the speed stays the same.

Answer:

1. decreases
2. stays the same