Which of the following statements about stars that produce similar spectral patterns is true?

A.
The stars have about the same mass.

B.
The stars are about the same size.

C.
The stars are the same age.

D.
The stars are made of similar elements.

D. The stars are made of similar elements.

The correct statement is D. The stars are made of similar elements.

To determine which of the statements is true, we need to understand the concept of spectral patterns and what they indicate about stars.

When we observe the light emitted or absorbed by a star, we can analyze it using a spectrograph to obtain its spectrum, which shows a continuous range of colors with dark lines called absorption lines. These lines correspond to specific wavelengths of light that are absorbed by the elements in the star's atmosphere. Each element has a unique pattern of absorption lines, creating a spectral fingerprint.

Now, let's examine the given statements to see which one is true:

A. The stars have about the same mass.
To determine the mass of a star, we usually rely on other indicators such as its gravitational effect on nearby objects or how it interacts with its surroundings. Spectral patterns, on their own, do not directly reveal the mass of a star. Therefore, this statement is not necessarily true based solely on spectral patterns.

B. The stars are about the same size.
Spectral patterns provide information about the composition and temperature of a star but not its size. Consequently, we cannot determine if stars have the same size solely based on their spectral patterns. Therefore, this statement is not necessarily true.

C. The stars are the same age.
Determining the age of a star usually involves analyzing various factors such as its location in a star cluster, its luminosity, and its evolutionary stage. Spectral patterns, by themselves, do not provide direct information about the age of a star. Therefore, this statement is not necessarily true.

D. The stars are made of similar elements.
The spectral patterns of stars do indeed provide information about their elemental composition. Since different elements have distinct spectral fingerprints, stars that produce similar spectral patterns are likely to be made of similar elements. Therefore, the statement "The stars are made of similar elements" is most likely true based on the information we have.

In summary, the statement that is most likely true is D. The stars are made of similar elements, as spectral patterns can indicate the presence of similar elements in stars.