visible light travels at a speed 3.0×10^8 of m/s. if red light has a wavelength of 6.5×10^(-7) m, what the…

Explanation:

Step1: Recall the wave - speed formula

The formula for the speed of a wave is $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $f$, so $f=\frac{v}{\lambda}$.

Step2: Substitute the given values

We are given that $v = 3.0\times10^{8}\ m/s$ and $\lambda=6.5\times 10^{-7}\ m$. $f=\frac{3.0\times 10^{8}}{6.5\times 10^{-7}}$ Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $f=\frac{3.0}{6.5}\times10^{8-(- 7)}=\frac{3.0}{6.5}\times10^{15}$. $\frac{3.0}{6.5}\approx0.46$, so $f\approx0.46\times 10^{15}=4.6\times 10^{14}\ Hz$.

Answer:

D. $4.6\times 10^{14}\ Hz$