Question

a decrease in the wavelength of an x - ray photon results in which of the following? decreased frequency and decreased energy decreased frequency and increased energy increased frequency and decreased energy increased frequency and increased energy

Explanation:

Step1: Recall the relationship between wavelength and frequency

The speed of light $c$ is related to wavelength $\lambda$ and frequency $f$ by $c = f\lambda$. Since $c$ is a constant, when $\lambda$ decreases, $f$ must increase ($f=\frac{c}{\lambda}$).

Step2: Recall the relationship between energy and frequency

The energy of a photon is given by $E = hf$, where $h$ is Planck's constant. Since $h$ is constant, when $f$ increases, $E$ also increases.

Answer:

Increased frequency and increased energy