contestada

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 is 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 (m1) of 1.6, and
another star has a magnitude (m2) of 0.4. What is the ratio of
brightness of these two stars?

Respuesta :

cryssatemp

Answer: 0.33

Explanation:

The ratio of brightness of two stars is given by:

[tex]\frac{b_1}{b_2}=2.512^{(m_{2}-m_{1})}[/tex]

Where:

[tex]b_1[/tex] is the brightness of star 1

[tex]b_2[/tex] is the brightness of star 2

[tex]m_{1}=1.6[/tex] is the magnitude of star 1

[tex]m_{2}=0.4[/tex] is the magnitude of star 2

[tex]\frac{b_1}{b_2}=2.512^{(0.4-1.6)}[/tex]

[tex]\frac{b_1}{b_2}=2.512^{(-1.2)}[/tex]

Finally:

[tex]\frac{b_1}{b_2}=0.33[/tex] This is the ratio of brightness

Otras preguntas