In a Distant Galaxy, a Planet Orbits Its Sun at a Distance

question 33

Multiple Choice

In a distant galaxy, a planet orbits its sun at a distance of 1.8 *10¹² m with a period of 10⁸ s. A second planet orbits the same sun at a distance of 9 *10¹¹ m. What is the period of the second planet?

• A) 5 * 10⁷ s
• B) 2 * 10⁸ s
• C) 0.35 * 10⁸ s
• D) 2.8 * 10⁸ s
• E) 5 * 10⁸ s

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Definitions:

N Th

In mathematics, "n-th" refers to an unspecified member of a sequence, indicating its position with the variable n.

Geometric Sequence

A progression of numbers in which each term beyond the initial one is produced by the multiplication of the preceding term by a constant, non-zero multiplier called the common ratio.

Formula

A mathematical expression that describes a relationship among different quantities.

N Th Term

A formula that allows the calculation of any term in a sequence based on its position (n).