objects get their colors from reflecting only certain wavelengths when hit with white light. light reflected…

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)\n3.44 x 10^9 hz\n3.00 x 10^8 hz\n6.12 x 10^8 hz\n6.12 x 10^14 hz\n1.63 x 10^-15 hz\n2.61 x 10^18 hz\n147 hz

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)\n3.44 x 10^9 hz\n3.00 x 10^8 hz\n6.12 x 10^8 hz\n6.12 x 10^14 hz\n1.63 x 10^-15 hz\n2.61 x 10^18 hz\n147 hz

Answer

Explanation:

Step1: Recall the speed - of - light formula

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

Step2: Rearrange the formula for frequency

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

Step3: Substitute the given values

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

Step4: Calculate the frequency

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

Answer:

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