Question

One star has a magnitude of -1.5 and another star has a magnitude of +0.6. What is the ratio of brightness of these two stars?

Answer 1

7

Step-by-step explanation:

`The \ ratio \ of \ brightness \ of \ these \ two \ stars \ is:`

`(b_(first \ star ))/(b _(second \ star ))= 2.512^{(m_((second \ star )) - (m_(first \ star ) ))}`

`(b_(first \ star ))/(b _(second \ star ))= 2.512^((0.6 - (-1.5 )))`

`(b_(first \ star ))/(b _(second \ star ))= 2.512^((2.1))`

`(b_(first \ star ))/(b _(second \ star ))= 6.9`

`\mathbf{(b_(first \ star ))/(b _(second \ star )) \simeq 7}`