Question

do now 16 (module 4 - lesson 2)
question 2. select all the statements that correctly describe the relationship between frequency, wavelength, and energy.
as frequency increases, wavelength decreases.
light with higher frequency carries more energy.
wavelength and energy are directly proportional.
radio waves have higher energy than ultraviolet waves.
shorter wavelengths correspond to higher frequencies.

Explanation:

• For the first statement: The formula \(c = \lambda

u\) (where \(c\) is the speed of light, \(\lambda\) is wavelength, and \(
u\) is frequency) shows an inverse relationship (\(\lambda=\frac{c}{
u}\)). So, as frequency (\(
u\)) increases, wavelength (\(\lambda\)) decreases.

• For the second statement: The energy formula \(E = h

u\) (where \(h\) is Planck's constant) indicates that energy (\(E\)) is directly proportional to frequency (\(
u\)). Higher frequency means higher energy.

• For the third statement: From \(E = h

u\) and \(\lambda=\frac{c}{
u}\), we get \(E=\frac{hc}{\lambda}\), so energy and wavelength are inversely proportional, not directly.

• For the fourth statement: Radio waves have lower frequencies than ultraviolet waves. Using \(E = h

u\), lower - frequency radio waves have lower energy than ultraviolet waves.

• For the fifth statement: Since \(\lambda=\frac{c}{

u}\), shorter wavelength (\(\lambda\)) implies higher frequency (\(
u\)) (because \(c\) is constant).

Answer:

A. As frequency increases, wavelength decreases.
B. Light with higher frequency carries more energy.
E. Shorter wavelengths correspond to higher frequencies.