Question

Каково отношение яркости звёзд с m2 = 2.2 и m1 = +1.1?

Answer 1

Ответ:  звезда  1,1m ярче звезды 2,2m  в 2,754 раз

Объяснение:  Отношение яркостей заданных звезд  по формуле:

Е1/Е2 = (100^0,2)^(m2 - m1)  =  (100^0,2)^(2,2 - 1,1) =  (100^0,2)^1,1 = 2,754

Answer 2

Relationship between the Brightness of Stars with m2 = 2.2 and m1 = 1.1

The relationship between the brightness of stars can be determined using the magnitude difference formula:

Magnitude Difference Formula: The formula to calculate the difference in brightness between two stars is given by: \[ \Delta m = m_2 - m_1 \]

Where: - \( \Delta m \) represents the difference in brightness between the two stars. - \( m_2 \) is the magnitude of the brighter star. - \( m_1 \) is the magnitude of the fainter star.

Using this formula, we can calculate the difference in brightness between the two stars with magnitudes \( m_2 = 2.2 \) and \( m_1 = 1.1 \).

Calculation: \[ \Delta m = 2.2 - 1.1 = 1.1 \]

Therefore, the difference in brightness between the star with magnitude \( m_2 = 2.2 \) and the star with magnitude \( m_1 = 1.1 \) is \( \Delta m = 1.1 \) magnitudes.

This means that the star with magnitude \( m_2 = 2.2 \) appears approximately 2.51 times brighter than the star with magnitude \( m_1 = 1.1 \) to the human eye, as each difference of 1 magnitude corresponds to a brightness ratio of approximately 2.51.