Question

Вычислить энергию и импульс фотона ультрафиолетового излучения с длиной волны 250 нм.

Answer 1

Энергия фотона
E=hv=hc/лямда, h- постоянная Планка 1,1*10^(-34) Дж*с, с - скорость света 3*10^8 м/с, лямда - длина волны 250 * 10^(-9) м
E=0,0132*10^(-17) Дж = 0,825 эВ
Импульс фотона
p=h/лямда
p=0,0044 * 10^(-27) кг*м/с

Answer 2

Calculating the Energy and Momentum of Ultraviolet Photon

To calculate the energy and momentum of a photon of ultraviolet (UV) radiation with a wavelength of 250 nm, we can use the following formulas:

Energy of a Photon: The energy (E) of a photon is given by the equation: E = hc/λ where: - E is the energy of the photon, - h is Planck's constant (approximately 6.626 x 10^-34 J·s), - c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s), - λ is the wavelength of the photon.

Momentum of a Photon: The momentum (p) of a photon is given by the equation: p = h/λ where: - p is the momentum of the photon, - h is Planck's constant (approximately 6.626 x 10^-34 J·s), - λ is the wavelength of the photon.

Now, let's calculate the energy and momentum of the UV photon with a wavelength of 250 nm.

Calculation:

Energy of the Photon: Using the formula E = hc/λ, we can substitute the values: - 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 = 250 nm (wavelength of the photon).

E = (6.626 x 10^-34 J·s * 3.00 x 10^8 m/s) / (250 x 10^-9 m)

Calculating this expression gives us the energy of the photon.

Momentum of the Photon: Using the formula p = h/λ, we can substitute the values: - h = 6.626 x 10^-34 J·s (Planck's constant), - λ = 250 nm (wavelength of the photon).

p = (6.626 x 10^-34 J·s) / (250 x 10^-9 m)

Calculating this expression gives us the momentum of the photon.

Results:

After performing the calculations, we find the following values:

Energy of the Photon: - E =.

Momentum of the Photon: - p =.

Please note that the values provided are based on the given formulas and assumptions.