Question

10 fill in the blank 9 points wavelength decreases, frequency choose your answer... wavelength decreases, energy choose your answer... frequency increases, energy choose your answer... wavelength and frequency have a(n) choose your answer... relationship. wavelength and energy have a(n) choose your answer... relationship. frequency and energy have a(n) choose your answer... relationship.

Explanation:

Step1: Recall wave - frequency - energy relationships

The speed of light $c=\lambda
u$, where $\lambda$ is wavelength and $
u$ is frequency. So $\lambda=\frac{c}{
u}$, when $\lambda$ decreases, $
u$ increases.

Step2: Recall energy - frequency relationship

The energy of a photon is $E = h
u$, where $h$ is Planck's constant. When $
u$ increases, $E$ increases. Also, since $\lambda=\frac{c}{
u}$ and $E = h
u$, we can get $E=\frac{hc}{\lambda}$, so when $\lambda$ decreases, $E$ increases.

Step3: Determine relationships

Wavelength and frequency have an inverse relationship ($\lambda=\frac{c}{
u}$). Wavelength and energy have an inverse relationship ($E=\frac{hc}{\lambda}$). Frequency and energy have a direct relationship ($E = h
u$).

Answer:

1. increases
2. increases
3. increases
4. inverse
5. inverse
6. direct