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Orlov [11]
3 years ago
5

Listed following are several fictitious stars with their luminosities given in terms of the Sun's luminosity (LSun) and their di

stances from Earth given in light-years (ly). Rank the stars based on how bright each would appear in the sky as seen from Earth, from brightest to dimmest. If two (or more) stars have the same brightness in the sky, show this equality by dragging one star on top of the other(s)
Enzo: 200 LSun , 20 ly Ferdinand: 400 LSun , 20 ly Nismo: 100 LSun , 8 ly
Lotus: 400 LSun , 40 ly Shelby: 100 LSun , 10 ly
Physics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

1. Nismo: L_{a}=0.1244

2. Ferdinand: L_{a}=0.0796, Shelby: L_{a}=0.0796

3. Enzo: L_{a}=0.0398

4. Lotus: L_{a}=0.0199

Explanation:

The luminosity of a star is the amount of light it emits from its surface. The luminosity is an intrinsic property of the star. Apparent brightness is how bright the star appears to a detector on Earth. Apparent brightness is not an intrinsic property of the star; it depends on the location of the observer.

As light travels towards an observer, it spreads out and covers a larger area, reducing the intensity. Thus the apparent brightness is inversely proportionate to the square of the distance between the star and observer.

Apparent brightness can be calculated by the formula below:

L_{a}=\frac{L}{4*pi*D^{2}}

Where, L_{a} is apparent brightness, L is luminosity, D is the distance between the star and observer

Enzo: 200 LSun , 20 ly

L_{a}=\frac{L}{4*pi*D^{2}}

L_{a}=\frac{200}{4*pi*20^{2}}

L_{a}=0.0398

Ferdinand: 400 LSun , 20 ly

L_{a}=\frac{L}{4*pi*D^{2}}

L_{a}=\frac{400}{4*pi*20^{2}}

L_{a}=0.0796

Nismo: 100 LSun , 8 ly

L_{a}=\frac{L}{4*pi*D^{2}}

L_{a}=\frac{100}{4*pi*8^{2}}

L_{a}=0.1244

Lotus: 400 LSun , 40 ly

L_{a}=\frac{L}{4*pi*D^{2}}

L_{a}=\frac{400}{4*pi*40^{2}}

L_{a}=0.0199

Shelby: 100 LSun , 10 ly

L_{a}=\frac{L}{4*pi*D^{2}}

L_{a}=\frac{100}{4*pi*10^{2}}

L_{a}=0.0796

Apparent brightness of stars is summarized as below. Absolute values are considered as units are unspecified

Enzo: L_{a}=0.0398

Ferdinand: L_{a}=0.0796

Nismo: L_{a}=0.1244

Lotus: L_{a}=0.0199

Shelby: L_{a}=0.0796

Organized in order of apparent brightness

1. Nismo: L_{a}=0.1244

2. Ferdinand: L_{a}=0.0796, Shelby: L_{a}=0.0796

3. Enzo: L_{a}=0.0398

4. Lotus: L_{a}=0.0199

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