Question

33
objects get their colors from reflecting only certain wavelengths when hit with white light. light reflected from a green leaf s found to have a wavelength of 4.90 x 10^-7 m. what is the frequency of the light? * (0.5 points)

2.61 x 10^18 hz

3.00 x 10^8 hz

3.44 x 10^9 hz

1.63 x 10^-15 hz

147 hz

6.12 x 10^8 hz

6.12 x 10^14 hz

Explanation:

Step1: Recall the wave - speed formula

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

Step2: 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}$.

Step3: Calculate the frequency

$
u=\frac{3.00\times 10^{8}}{4.90\times 10^{-7}}=\frac{3.00}{4.90}\times10^{8 - (- 7)}=\frac{3.00}{4.90}\times10^{15}\approx0.612\times10^{15}=6.12\times 10^{14}\ Hz$

Answer:

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