Question

the two stars S1 and S2 are located at distance d1 and d2 respectively. Also if d1>d2 then which of the following st
atement is true?
a) the parallax of S1 and S2 are same.
b) the parallax of S1 is twice as that of S2
c)the parallax of S1 is greater than parallax of S2
d) the parallax of S2 is greater than parallax of S1​

Answer 1

Answer:

The statement d) is true, the parallax of S2 is greater than parallax of S1, once S2 is closer.

Explanation:

Parallax is a difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.

Hence, the closer the object is, the greater this angle will be. Then the parallax of S2 is greater than parallax of S1, once S2 is closer.

Answer 2

Answer:

Statement (d)

The parallax of S2 is greater than  parallax of S1

Explanation:

The parallax formula states that the distance to a star is equal to 1 divided by the parallax angle, p, where p is measured in arc-seconds, and d is parsecs.

d=1/p

That means that relationship between D and P is of inverse proportion.

As per question statement, if d1 is greater than d2, then relatively stating that Parallax of S1 will be less than that of S2. In other words, parallax of S2 will be greater than  parallax of S1