Question

The ratio of brightness of two stars can be determined by a constant of 2.512 raised to the power of the magnitude difference. The formula

b1

b2
= 2.512(m2 − m1) where b1 and b2 represent the brightness and m1 and m2 refer to the magnitudes of the stars being compared. One star has a magnitude of 0.2, and another star has a magnitude of 2.2. What is the ratio of brightness of these two stars?

Answer 1

Answer: 6.3

Step-by-step explanation:

The ratio of brightness of two stars is given by:

`(b_1)/(b_2)=2.512^{(m_(2)-m_(1))}`

Where:

`b_1` is the brightness of star 1

`b_2` is the brightness of star 2

`m_(1)=0.2` is the magnitude of star 1

`m_(2)=2.2` is the magnitude of star 2

`(b_1)/(b_2)=2.512^((2.2-0.2))`

`(b_1)/(b_2)=2.512^(2)`

Finally:

`(b_1)/(b_2)=6.3` This is the ratio of brightness