The Figure Below Shows the Rotation Curve of a Galaxy

question 37

Multiple Choice

The figure below shows the rotation curve of a galaxy.How does the mass enclosed within a given distance from the galaxy's center vary?

• A) The mass is concentrated near the center.
• B) The enclosed mass increases linearly with distance.
• C) The enclosed mass increases with the square of distance.
• D) The enclosed mass increases like the square root of distance.

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Definitions:

Meta-Analysis

A statistical method for combining the results of multiple studies on a topic to integrate findings and draw conclusions.

Chi-square Distribution

A probability distribution that describes the distribution of the sum of the squares of k independent standard normal random variables.

Positive Values

Numbers greater than zero.

Degree of Freedom

The number of independent ways by which a dynamic system can move without violating any constraint applied on it, often used in statistics to determine the number of values in the final calculation of a statistic that are free to vary.