Question

green light has a wavelength of about 510 nm and travels at a speed of $3.00 \times 10^8$ m/s. the frequency of green light, rounded to the nearest tenth and written in scientific notation, is $\square \times 10^{14}$ hz.

Explanation:

Step1: Convert wavelength to meters

$510\ \text{nm} = 510 \times 10^{-9}\ \text{m} = 5.1 \times 10^{-7}\ \text{m}$

Step2: Use wave speed formula $v = f\lambda$

$f = \frac{v}{\lambda} = \frac{3.00 \times 10^8}{5.1 \times 10^{-7}}$

Step3: Calculate frequency

$f \approx 5.882 \times 10^{14}\ \text{Hz} \approx 5.9 \times 10^{14}\ \text{Hz}$

Answer:

5.9