question_answer

For a given base line, which will show a greater parallax - a distant star or a nearby star?

Answer:

                Parallactic angle, \[\text{ }\!\!\theta\!\!\text{  =}\frac{\text{base line}}{\text{distance of star}}\text{=}\frac{\text{b}}{\text{S}}\] Thus for a given base line b, parallax of a star is inversely proportional to its distance S. Hence the nearby star will show a greater parallax.