Question

The relationship between a star's luminosity and brightness is described by the inverse square law: $B \propto \frac{L}{d^2}$ Or, in words: Brightness $\propto \frac{Luminosity}{(distance)^2}$ (4) 5) Let's use this expression to solve a problem. Star X and Star Y are intrinsically identical stars. If Star X is located 20 light-years from Earth and Star Y is located 40 light-years from Earth, what is the ratio of their apparent brightnesses, $\frac{B_{Star X}}{B_{Star Y}}$? Show your work below.

          The relationship between a star's luminosity and brightness is described by the inverse square law:
$B \propto \frac{L}{d^2}$ Or, in words: Brightness $\propto \frac{Luminosity}{(distance)^2}$ (4)
5) Let's use this expression to solve a problem. Star X and Star Y are intrinsically identical stars. If Star X is located 20 light-years from Earth and Star Y is located 40 light-years from Earth, what is the ratio of their apparent brightnesses, $\frac{B_{Star X}}{B_{Star Y}}$? Show your work below.

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The relationship between a star's luminosity and brightness is described by the inverse square law:
B ∝(L)/(d^2) Or, in words: Brightness ∝(Luminosity)/((distance)^2) (4)
5) Let's use this expression to solve a problem. Star X and Star Y are intrinsically identical stars. If Star X is located 20 light-years from Earth and Star Y is located 40 light-years from Earth, what is the ratio of their apparent brightnesses, (BStar X)/(BStar Y)? Show your work below.

Added by Michael R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Ankit Gupta

08/20/2020

Step 1

Luminosity: $Luminosity = 20 \times \frac{StarX's luminosity}{StarX's brightness}$ Brightness: $Brightness = 40 \times \frac{StarY's luminosity}{StarY's brightness}$ Show more…

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Answer the question below and show the entire work. The relationship between a star's luminosity and brightness is described by the inverse square law: Luminosity âˆ 1/(distance)^2 Or, in words, the luminosity is inversely proportional to the square of the distance. Let's use this expression to solve a problem: Star X and Star Y are intrinsically identical stars. If Star X is located 20 light-years from Earth and Star Y is located 40 light-years from Earth, what is the ratio of their apparent brightnesses, BstarX/BstarY? Show your work below.

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