Question

question 4/10 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 report this question

Explanation:

Step1: Recall wave - frequency relation

The speed of light $c$ is related to wavelength $\lambda$ and frequency $f$ by $c = \lambda f$. Since $c$ is a constant ($c\approx3\times 10^{8}\ m/s$), when $\lambda$ decreases, from $f=\frac{c}{\lambda}$, $f$ increases.

Step2: Recall energy - frequency relation

The energy of a photon is given by $E = hf$, where $h$ is Planck's constant ($h = 6.63\times 10^{- 34}\ J\cdot s$). Since $h$ is constant, when $f$ increases, $E$ increases.

Answer:

Increased frequency and increased energy