Температура Т абсолютно черного тела при нагревании изменилась от 1000 до 3000 К. Во склоько раз увеличилась при этом его энергетическая светимость Re?
The temperature T of a black body when heated has changed from 1000 to 3000 K. How many times has increased while its energy luminosity R_ ∋?
Спросите мисс Сью
Sorry i dont know
To determine how many times the energy luminosity has increased, we need to use the Stefan-Boltzmann law, which states that the energy radiated by a black body is proportional to the fourth power of its temperature.
The Stefan-Boltzmann law can be expressed as: R ∋ T^4, where R ∋ is the energy luminosity and T is the temperature of the black body.
First, let's calculate the initial energy luminosity R1 ∋ at 1000 K:
R1 ∋ = T1^4 = 1000^4
Next, let's calculate the final energy luminosity R2 ∋ at 3000 K:
R2 ∋ = T2^4 = 3000^4
To determine the increase in energy luminosity, we can calculate the ratio of R2 ∋ to R1 ∋:
Increase = R2 ∋ / R1 ∋ = (3000^4) / (1000^4)
So, the energy luminosity has increased by a factor of (3000^4) / (1000^4) or (3^4) = 81 times.
Therefore, the energy luminosity has increased by 81 times while the temperature of the black body changed from 1000 to 3000 K.