15 use the table to determine the color of light whose frequency is 5.00x10^14 hz. * (0.5 points) colour*…

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

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

Answer

Explanation:

Step1: Recall the speed - light formula

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

Step2: Substitute the values

Given $\nu = 5.00\times 10^{14}\ Hz$ 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