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The Milky Way and Andromeda galaxies are members of the Local Group, a cluster of more than 50 galaxies spread across a spherical volume with a diameter of 10 million light years. Imagine you could create a scale model of the Local Group with the Milky Way and represented as circular plates with diameters of 24 cm. What would be the diameter (in m) of your spherical scale model of the Local Group?

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Answer:

2400 cm

Explanation:

The milky way has diameter of 100000 light years.

[tex]100000\ ly=24\ cm\\\Rightarrow 1\ ly=\frac{24}{100000}\ cm[/tex]

The local group is the collection of galaxies which includes the milky way.

10 million light years is the diameter of the local group.

[tex]10\times 10^6\ ly=10\times 10^6\times \frac{24}{100000}\ cm\\\Rightarrow 10\times 10^6\ ly=2400\ cm[/tex]

Hence, the diameter of the scale model of the local group would be 2400 cm

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