what is the frequency of an orange light with...
what is the frequency of an orange light with a wavelength of 6.3 x 10^-7 m? give your answer in proper scientific notation. ? x 10^? hz c = 3.0 x 10^8 m/s enter the coefficient in the green box and the exponent in the yellow box.
Answer
# Explanation:
## Step1: Recall the wave - speed formula
The formula for the speed of a wave is $c = \lambda\nu$, where $c$ is the speed of light, $\lambda$ is the wavelength, and $\nu$ is the frequency. We need to solve for $\nu$, so $\nu=\frac{c}{\lambda}$.
## Step2: Substitute the given values
We know that $c = 3.0\times10^{8}\text{ m/s}$ and $\lambda=6.3\times 10^{-7}\text{ m}$. Then $\nu=\frac{3.0\times 10^{8}}{6.3\times 10^{-7}}$.
## Step3: Use the rules of exponents for division
When dividing numbers in scientific - notation $a\times10^{m}$ by $b\times10^{n}$, we use the formula $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$. Here, $\frac{3.0}{6.3}\approx0.476$ and $10^{8-(-7)} = 10^{15}$. So $\nu = 0.476\times10^{15}\text{ Hz}$.
## Step4: Convert to proper scientific notation
To convert $0.476\times10^{15}$ to proper scientific notation, we move the decimal point one place to the right, which gives $4.76\times10^{14}\text{ Hz}$.
# Answer:
$4.76\times 10^{14}$ Hz