Question

objects get their colors from reflecting only certain wavelengths when hit with white light. light reflected from a green leaf is found to have a wavelength of 4.90 x 10^-7 m. what is the frequency of the light? * (0.5 points)
3.44 x 10^9 hz
3.00 x 10^8 hz
6.12 x 10^8 hz
6.12 x 10^14 hz
1.63 x 10^-15 hz
2.61 x 10^18 hz
147 hz

Explanation:

Step1: Recall the speed - of - light formula

The speed of light $c = \lambda
u$, where $c = 3.00\times10^{8}\ m/s$ (speed of light in a vacuum), $\lambda$ is the wavelength, and $
u$ is the frequency. We need to solve for $
u$.

Step2: Rearrange the formula for frequency

$
u=\frac{c}{\lambda}$.

Step3: Substitute the given values

Given $\lambda = 4.90\times 10^{-7}\ m$ and $c = 3.00\times10^{8}\ m/s$. Then $
u=\frac{3.00\times 10^{8}\ m/s}{4.90\times 10^{-7}\ m}$.

Step4: Calculate the frequency

$
u=\frac{3.00}{4.90}\times10^{8 - (- 7)}=\frac{3.00}{4.90}\times10^{15}\ Hz\approx6.12\times 10^{14}\ Hz$.

Answer:

$6.12\times 10^{14}\ Hz$