Question

Глаз человека воспринимает свет длиной 0.5 мкм, если каждую секунду на сетчатку попадает не менее E=17,874*10^-18 Дж энергии. Какое количество n фотонов поглощает при этом ежесекундно сетчатка глаза? СРОЧНО!!!!!!!!!

Answer 1

The Human Eye and Photon Absorption

The human eye is a complex organ that allows us to perceive light and color. The retina, located at the back of the eye, contains specialized cells called photoreceptors that are responsible for detecting light. These photoreceptors, known as rods and cones, convert light energy into electrical signals that are then transmitted to the brain for processing.

When light enters the eye, it interacts with the photoreceptors in the retina. Each photon of light carries a certain amount of energy, and when a photon is absorbed by a photoreceptor, it can trigger a chemical reaction that leads to the generation of an electrical signal. The energy of a photon is directly proportional to its wavelength, with shorter wavelengths carrying more energy.

Calculating the Number of Photons Absorbed

To calculate the number of photons absorbed by the retina per second, we need to know the energy of each photon and the total energy absorbed per second.

In this case, the energy absorbed per second by the retina is given as E = 17,874 * 10^-18 J.

The energy of each photon can be calculated using the equation E = hc/λ, where h is Planck's constant (6.62607015 × 10^-34 J·s), c is the speed of light (2.998 × 10^8 m/s), and λ is the wavelength of light.

Given that the wavelength of light is 0.5 μm (0.5 × 10^-6 m), we can calculate the energy of each photon:

E = (6.62607015 × 10^-34 J·s × 2.998 × 10^8 m/s) / (0.5 × 10^-6 m)

Simplifying the equation, we find:

E = 3.97564209 × 10^-19 J

Now, we can calculate the number of photons absorbed per second (n) by dividing the total energy absorbed per second (E) by the energy of each photon:

n = E / (3.97564209 × 10^-19 J)

Calculating this value, we find:

n ≈ 4.5 × 10^17 photons

Therefore, the retina of the eye absorbs approximately 4.5 × 10^17 photons per second when each photon carries an energy of 17,874 * 10^-18 J.

Please note that the calculations provided are based on the given information and assumptions about the energy of each photon and the total energy absorbed by the retina per second.