Question

Красный свет имеет длину волны в вакууме 0,7µm. Найти: массу светового кванта, скорость кванта, энергию кванта

Answer 1

Е=hV (энергия - это произведение частоты на постоянную планка)
L=c/V (L - длина волны, с - скорость света в вакууме)
V=c/L
Отсюда E=hc/L=6.6*10^(-34) * 3*10^8 / 7.2*10^(-7) = 2.75*10^(-19) Дж

Answer 2

Calculation of the Mass, Velocity, and Energy of a Light Quantum

To calculate the mass, velocity, and energy of a light quantum with a wavelength of 0.7 µm in a vacuum, we can use the following formulas:

1. Mass of a Light Quantum: - The mass of a light quantum can be calculated using the equation: mass = energy / (speed of light)^2. - Since the speed of light is a constant, we can use the equation: mass = energy / c^2, where c is the speed of light.

2. Velocity of a Light Quantum: - The velocity of a light quantum can be calculated using the equation: velocity = speed of light. - The speed of light in a vacuum is a constant value, which is approximately 299,792,458 meters per second.

3. Energy of a Light Quantum: - The energy of a light quantum can be calculated using the equation: energy = Planck's constant * frequency, where frequency = speed of light / wavelength. - Planck's constant is a fundamental constant in physics, denoted by the symbol h, and its value is approximately 6.62607015 × 10^-34 joule-seconds.

Let's calculate the mass, velocity, and energy of the light quantum with a wavelength of 0.7 µm.

Calculation:

1. Mass of a Light Quantum: - We need to calculate the energy of the light quantum first. - The frequency of the light quantum can be calculated using the equation: frequency = speed of light / wavelength. - Substituting the values, we get: frequency = (299,792,458 m/s) / (0.7 × 10^-6 m). - Calculating the frequency, we find: frequency ≈ 4.282 × 10^14 Hz. - Now, we can calculate the energy using the equation: energy = Planck's constant * frequency. - Substituting the values, we get: energy = (6.62607015 × 10^-34 J·s) * (4.282 × 10^14 Hz). - Calculating the energy, we find: energy ≈ 2.834 × 10^-19 Joules. - Finally, we can calculate the mass using the equation: mass = energy / (speed of light)^2. - Substituting the values, we get: mass = (2.834 × 10^-19 J) / (299,792,458 m/s)^2. - Calculating the mass, we find: mass ≈ 3.161 × 10^-36 kilograms.

2. Velocity of a Light Quantum: - The velocity of a light quantum is equal to the speed of light, which is approximately 299,792,458 meters per second.

3. Energy of a Light Quantum: - The energy of the light quantum is approximately 2.834 × 10^-19 Joules.

Therefore, for a light quantum with a wavelength of 0.7 µm in a vacuum: - The mass is approximately 3.161 × 10^-36 kilograms. - The velocity is approximately 299,792,458 meters per second. - The energy is approximately 2.834 × 10^-19 Joules.

Please note that these calculations are based on the given wavelength and the fundamental constants of physics.