If the universe were shrunk to the size of earth,how large would the e...
If the universe were shrunk to the size of the earth, then Earth be on this scale is :-
Magnification = size of earth / size of universe = 10^7 / 10^35 = 10^-18
Apprant size = 10^7 *10^18 = 10^-11 m (size of atom)..
If the universe were shrunk to the size of earth,how large would the e...
**The Scale of the Universe**
To understand the size of the Earth on a scaled-down universe, let's first consider the actual size of the Earth and the universe.
The Earth has a diameter of roughly 12,742 km, while the observable universe is estimated to have a diameter of about 93 billion light-years, which is approximately 8.8x10^26 km. This vast difference in size makes it challenging to comprehend the scale we are dealing with.
**Shrinking the Universe**
Now, let's imagine shrinking the universe down to the size of the Earth. This means reducing the diameter of the universe from 8.8x10^26 km to 12,742 km. To determine the size of the Earth on this scale, we need to find the ratio between the original size of the universe and its shrunk size.
Ratio = Original Universe Size / Shrunk Universe Size
Ratio = 8.8x10^26 km / 12,742 km
Using scientific notation, we can express this ratio as:
Ratio = 8.8x10^26 km / 1.2742x10^4 km
Taking the ratio of the exponents, we subtract them:
Ratio = 8.8x10^(26 - 4)
Ratio = 8.8x10^22
**The Size of the Earth on a Shrunk Universe**
Now that we have the ratio, we can determine the size of the Earth on the scaled-down universe:
Earth's Size = Ratio x Earth's Diameter
Earth's Size = 8.8x10^22 x 12,742 km
Calculating this value, we get:
Earth's Size ≈ 1.12x10^27 km
Thus, on a shrunk universe, the Earth would have a size of approximately 1.12x10^27 km.
*Please note that the scale used in this explanation is a simplification for conceptual purposes. The actual scale and size of the universe are much more complex and vast, and this answer provides a simplified representation.*
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