Question

Вычислить массу фотона в кг для излучения с длиной волны 4000 Ангстрем

Answer 1

L=4000 A=4*10^-7 м
m*c^2=h*c/L
m=h/L*c^2=6,62*10^-34/4*10^-7*9*10^16=1,84*10^-42 кг

Answer 2

Calculating Photon Mass for 4000 Ångströms Wavelength

To calculate the mass of a photon for radiation with a wavelength of 4000 Ångströms, we can use the formula:

E = hc / λ

Where: - E = energy of the photon - h = Planck's constant (6.626 x 10^-34 J·s) - c = speed of light in a vacuum (3.00 x 10^8 m/s) - λ = wavelength of the radiation

First, we need to calculate the energy of the photon using the given wavelength.

Calculation

Using the formula E = hc / λ, where: - h = 6.626 x 10^-34 J·s (Planck's constant) - c = 3.00 x 10^8 m/s (speed of light in a vacuum) - λ = 4000 Ångströms = 4000 x 10^-10 m (1 Ångström = 10^-10 m)

We can calculate the energy of the photon.

E = (6.626 x 10^-34 J·s * 3.00 x 10^8 m/s) / (4000 x 10^-10 m)

E ≈ 4.97 x 10^-19 J

Now, to find the mass of the photon, we can use Einstein's mass-energy equivalence principle:

E = mc^2

Where: - E = energy of the photon - m = mass of the photon - c = speed of light in a vacuum (3.00 x 10^8 m/s)

Mass Calculation

Using the mass-energy equivalence principle E = mc^2, we can solve for the mass m:

m = E / c^2

Substituting the calculated energy E ≈ 4.97 x 10^-19 J and the speed of light c = 3.00 x 10^8 m/s:

m ≈ (4.97 x 10^-19 J) / (3.00 x 10^8 m/s)^2

m ≈ 5.52 x 10^-36 kg

Therefore, the mass of a photon for radiation with a wavelength of 4000 Ångströms is approximately 5.52 x 10^-36 kg.