Question

The apparent magnitudes of two stars are 0.06 and 1.06 respectively. Calculate the ratio of their brightness.

Answer 1

Pogson's formula is given by

$$m_2-m_1=2.512\lg\frac{I_1}{I_2}$$

So, ratio of stars brightness

$$\frac{I_1}{I_2}=10^{0.4(m_2-m_1)}$$

$$=10^{0.4(1.06-0.06)}=2.512$$