A star is 80 pc from the Sun.Its apparent motion against the background sky as a result of Earth's motion through 1 AU; that is,its stellar parallax,is:

Question

Quizplus · Accepted Answer

Stellar parallax is given by the formula:
Parallax angle = (1 AU / distance to star in parsecs) * (180° / π)
Here, distance to star = 80 pc = 80 parsecs
Substituting these values, we get:
Parallax angle = (1 / 80) * (180/π) = 0.0022918 radians
To convert this to arcseconds, we multiply by (180°/π) * (3600 arcseconds/degree):
Parallax angle = 0.0022918 * 180/π * 3600 = 0.0125 arcseconds (rounded to 4 decimal places)
Therefore, the best choice is A) 0.0125 arcseconds.

A Star Is 80 Pc from the Sun