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The Sun is situated $1.496 × 108 km$ from the Earth, while the Moon is situated $3.84 × 108 m$ from the Earth. The Moon passes between the Earth and the Sun during a solar eclipse. How far apart are the Moon and Sun at that specific moment?

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1492.16 × 108 m

1492.16 × 107 m

1492.16 × 106 m

1492.16 × 105 m

answer is A.

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Detailed Solution

Given that,
Distance between the sun and the earth

= 1.496 × 108 km .

Distance between the earth and the moon

= 3.84 × 108 m .

We know that,

1 km = 1000 m

Therefore the distance between the sun and the earth,

= 1.496 × 108 × 1000 m

= 14961000 × 108 × 1000 m

= 1496 × 108 m

Thus the distance between the moon and the sun

= (1496 × 108 − 3.84 × 108) m .

= (1496 − 3.84) × 108 m

= 1492.16 × 108 m

Hence, the distance between the moon and the sun is

1492.16 × 108 m .

So, option (1) is correct.

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