Question

a beam of light has 600 nm what is the frequency

Answer 1

Answer:

$f = 5 \times 10^{14} \; \text{Hz}$ if the wavelength is observed in vacuum.

Step-by-step explanation:

$f = \dfrac{c}{\lambda}$,

where

• $f$ is the frequency of this beam of light,
• $\lambda$ is its wavelength, and
• $c$ is the speed of light.

$c \approx 3.00 \times 10^{8} \; \text{m}\cdot \text{s}^{-1}$ in vacuum and in the earth atmosphere. However, the value of $c$ will be smaller in other media.

$1 \; \text{nm} = 1 \times 10^{-9} \; \text{m}$.

• $\text{m} \cdot \text{s}^{-1}$ is the SI unit for speed.
• $\text{m}$ is the SI unit for distance.

$\lambda = 600 \; \text{nm} = 600 \times 10^{-9} \; \text{m} = 6.00 \times 10^{-7} \;\text{m}$.

$f = \dfrac{c}{\lambda} = \dfrac{3.00 \times 10^{8} \; \text{m}\cdot \text{s}^{-1}}{6.00 \times 10^{-7}\; \text{m}} = 5 \times 10^{14} \; \text{s}^{-1}$.

One [oscillation] in each second is the same as one Hertz $\text{Hz}$. In other words, $1 \; \text{s}^{-1} = 1 \; \text{Hz}$.

$f = 5 \times 10^{14} \; \text{s}^{-1} =5 \times 10^{14} \; \text{Hz}$.