Question

Излучатель мощностью 10 Вт создает монохроматическое излучение с длиной волны 662нм .Определите сколько фотонов в одну секунду излучает этот источник .Какова масса каждого фотона?

Answer 1

P=10 Вт   λ=662*10^-9 м   t=1 c    N=?   m=?

E=P*t=N*h*c/λ

N=P*t*λ/(h*c)=10*1*662*10^-9/(6.62*10^-34*3*10^8)=3.33*10^19 штук

E=N*m*c²     m=P*t/(N*c²)=10*1/(3.33*10^19*9*10^16)=0.33*10^-35 кг

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h - постоянная Планка     с - скорость света

Answer 2

Photon Emission Calculation

To calculate the number of photons emitted per second by a 10 W source with monochromatic radiation at a wavelength of 662 nm, we can use the formula:

Number of photons emitted per second = Power / Energy of one photon

First, let's calculate the energy of one photon using the formula:

Energy of one photon = Planck's constant * speed of light / wavelength

Given: - Power = 10 W - Wavelength = 662 nm

Using the above information, we can calculate the number of photons emitted per second and the mass of each photon.

Calculation

The energy of one photon can be calculated as follows:

Energy of one photon = (Planck's constant * speed of light) / wavelength

Substitute the values: Energy of one photon = (6.626 x 10^-34 Js * 3 x 10^8 m/s) / (662 x 10^-9 m)

Now, we can calculate the number of photons emitted per second using the formula:

Number of photons emitted per second = Power / Energy of one photon

Substitute the values: Number of photons emitted per second = 10 / (Energy of one photon)

Finally, to find the mass of each photon, we can use Einstein's mass-energy equivalence equation:

Mass of each photon = Energy of one photon / (speed of light)^2

Substitute the values: Mass of each photon = (Energy of one photon) / (3 x 10^8 m/s)^2

Let's calculate these values.