Question

15 use the table to determine the color of light whose frequency is 5.00x10^14 hz. (0.5 points) colour wavelength (nm) red (limit) 700 red 650 orange 600 yellow 580 green 550 cyan 500 blue 450 violet (limit) 400

Explanation:

Step1: Recall the speed - light formula

The speed of light $c = \lambda
u$, where $c = 3\times10^{8}\ m/s$, $\lambda$ is the wavelength and $
u$ is the frequency. We can solve for $\lambda$: $\lambda=\frac{c}{
u}$.

Step2: Substitute the values

Given $
u = 5.00\times 10^{14}\ Hz$ and $c = 3\times10^{8}\ m/s$. Then $\lambda=\frac{3\times 10^{8}\ m/s}{5.00\times 10^{14}\ Hz}=6\times10^{-7}\ m$.

Step3: Convert to nanometers

Since $1\ m = 10^{9}\ nm$, then $\lambda=6\times 10^{-7}\ m\times10^{9}\ nm/m = 600\ nm$.

Step4: Determine the color

From the table, when the wavelength is $600\ nm$, the color of light is orange.

Answer:

orange