Suppose we imagine the Sun to be about the size of a grapefruit. Which of the fo

Question

Suppose we imagine the Sun to be about the size of a grapefruit. Which of the following describes the size and distance of Earth on the same scale? Select the right answer Earth is the size of a marble about 25 miles away from the Sun. Earth is the size of a tip of a ballpoint pen about 15 meters away from the Sun. Earth is the size of a tip of a ballpoint pen about 1 meter away from the Sun. Earth is the size of a golf ball about 15 meters away from the Sun. Earth is the size of a golf ball about 1 meter away from the Sun.

Explanation / Answer

Second option, 'Earth is the size of a tip of a ballpoint pen about 15 m away from the sun, is the correct answer.

Explanation -

Radius of sun = 7 x 10^8 m

Radius of the earth = 6.37 x 10^6 m

Radius of grapefruit = 7.6 x 10^-2 m

Since sun is the size of a grapefruit. So, our scale = (7.6 x 10^-2) / (7 x 10^8) = 10^-10

Means the scale is approximately, 1:10^-10

So, size of earth = 6.37 x 10^6 x 10^-10 = 6.37 x 10^-4 m (Size of ballpoint)

As we know that the distance between the sun and the earh = 14.9 x 10^10 m

So, in our scale, distance between the sun and the earth = 14.9 x 10^10 x 10^-10 = 14.9 m

which is approximately 15 meters.

Therefore, second option is the correct answer.

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