Question

Let c 3.00 x 108 m/s he eye is most sensitive to light with a frequency of 5.45 x 1014Hz. What is he wavelength of this light? What would its color be?

Answer 1

Explanation:

It is given that,

Frequency of the wave, $f=5.45\times 10^{14}\ Hz$

We need to find the wavelength of an EM wave. The wavelength of the light is given by :

$\lambda=\dfrac{c}{f}$  

c is the speed of light

$\lambda=\dfrac{3\times 10^8\ m/s}{5.45\times 10^{14}\ Hz}$

$\lambda=5.5045\times 10^{-7}\ m$

or

$\lambda=550.46\ nm$

So, the wavelength of light is $\lambda=550.46\ nm$. This is the wavelength of green light. Hence, this is the required solution.