Question

3. El ojo es sensible a ondas electromagnéticas cuyas longitudes de onda están comprendidas en el entorno de 4 x 10 -7m y 7 x 10 -7m aproximadamente. ¿Cuáles son las frecuencias de esos valores límites sabiendo que la velocidad de la luz c = 3 x 108 m/s.

Answer 1

Answer: $7.5(10)^{14} Hz$ and $4.28(10)^{14} Hz$

Explanation:

The question in english is written below:

The eye is sensitive to electromagnetic waves whose wavelengths are approximately between $4(10)^{-7}m$ and $7(10)^{-7}m$. What are the frequencies of these limit values ​​knowing that the speed of light $c=3(10)^{8} m/s$?

There is an inverse relationship between the frequency $\nu$ and the wavelength $\lambda$:

$\nu=\frac{c}{\lambda}$ (1)  

Where:

$c=3(10)^{8} m/s$ is the speed of light

$\lambda$ is the wavelength

Knowing this, we can find the frequency for the given wavelengths:

a) For $\lambda_{1}=4(10)^{-7}m$

$\nu=\frac{3(10)^{8} m/s}{4(10)^{-7}m}$

$\nu=7.5(10)^{14}s^{-1}=7.5(10)^{14} Hz$

b) For $\lambda_{2}=7(10)^{-7}m$

$\nu=\frac{3(10)^{8} m/s}{7(10)^{-7}m}$

$\nu=4.28(10)^{14}s^{-1}=4.28(10)^{14} Hz$