Question

which of the following visible colors of light has the highest frequency?
green
blue
red
yellow
orange
question 2
1 pts
the local radio station 96 key fm broadcasts at a frequency of 96.5 mhz. what is the corresponding wavelength in meters? report your answer in correct number of sig figs and units; do not use scientific notation.
units
question 3
1 pts
a laser emits light with a wavelength of 389 nm. what is the energy (in joules) of one photon of the radiation from this laser? report your answer to the correct number of sig figs in the blanks below with the units given last.
x 10

Explanation:

Step1: Recall visible - light frequency order

In the visible - light spectrum, the order of increasing frequency is red < orange < yellow < green < blue < violet. So blue has a higher frequency among the given options.

Step2: Use the wave - speed formula for Question 2

The wave - speed formula is $c = \lambda
u$, where $c = 3.00\times10^{8}\ m/s$ (speed of light), $\lambda$ is the wavelength, and $
u$ is the frequency. Given $
u=96.5\ MHz = 96.5\times10^{6}\ Hz$. Rearranging for $\lambda$, we get $\lambda=\frac{c}{
u}$. Substituting the values: $\lambda=\frac{3.00\times 10^{8}\ m/s}{96.5\times 10^{6}\ Hz}\approx3.11\ m$.

Step3: Use the photon - energy formula for Question 3

The energy of a photon is given by $E = h
u$, and since $
u=\frac{c}{\lambda}$, then $E=\frac{hc}{\lambda}$. Given $\lambda = 389\ nm=389\times 10^{-9}\ m$, $h = 6.626\times10^{-34}\ J\cdot s$, and $c = 3.00\times10^{8}\ m/s$. Substituting the values: $E=\frac{6.626\times 10^{-34}\ J\cdot s\times3.00\times 10^{8}\ m/s}{389\times 10^{-9}\ m}\approx5.11\times 10^{-19}\ J$.

Answer:

Question 1: B. blue
Question 2: 3.11 m
Question 3: 5.11 x 10^-19 J