Question

Точечный источник света мощностью 33Вт излучает фотоны с длинной 700нм сколько фотонов проходить ежесекундно через 1м^2 поверхности расположенной перпендикулярно пучку на расстоянии 3 м от источника ?

Answer 1

Мощность излучения На 1 м2 На расстоянии R   Ps=P/4^pi*R^2
Энергия фотона E1=h*c/L
N=P*L/4*pi*R^2*h*c=33*700*10^-9/4*3,14*9*6,62*10^-34*3*10^8=10^18

Answer 2

Calculation of the Number of Photons Passing through a Surface

To calculate the number of photons passing through a surface per second, we need to consider the power of the light source and the wavelength of the photons. In this case, we have a light source with a power of 33 watts and photons with a wavelength of 700 nm.

The energy of a single photon can be calculated using the equation:

E = hc/λ

Where: - E is the energy of a single photon, - h is Planck's constant (6.626 x 10^-34 J·s), - c is the speed of light (3 x 10^8 m/s), - λ is the wavelength of the photons.

Using the given wavelength of 700 nm (700 x 10^-9 m), we can calculate the energy of a single photon:

E = (6.626 x 10^-34 J·s) x (3 x 10^8 m/s) / (700 x 10^-9 m)

Let's calculate the energy of a single photon:

E = (6.626 x 10^-34 J·s) x (3 x 10^8 m/s) / (700 x 10^-9 m) = 2.84 x 10^-19 J

Now, to calculate the number of photons passing through a surface per second, we need to divide the power of the light source by the energy of a single photon:

Number of photons per second = Power of the light source / Energy of a single photon

Let's calculate the number of photons passing through a 1 m^2 surface located perpendicular to the beam at a distance of 3 m from the source:

Number of photons per second = 33 W / (2.84 x 10^-19 J)

To calculate the result, we need to convert the power from watts to joules per second:

1 W = 1 J/s

Therefore, the number of photons passing through the surface per second is:

Number of photons per second = 33 J/s / (2.84 x 10^-19 J) = 1.16 x 10^20 photons/s

So, approximately 1.16 x 10^20 photons pass through the 1 m^2 surface per second when located perpendicular to the beam at a distance of 3 m from the light source.

Please note that the calculation assumes ideal conditions and does not take into account factors such as absorption, scattering, or other losses that may occur in real-world scenarios.