Deneb is the brightest star in the constellation of Cygnus and the 19th brightest star in the night sky. Its parallax is estimated as ~1 mas, where 1 mas = 0.001 arcsecond. What is its distance from us? (Hint: d (pc) = 1 / p(arcsecond) )

Question

BlackTom AI · Accepted Answer

The problem gives a parallax p of about 1 milliarcsecond (mas) and asks for the distance using d(pc) = 1 / p(arcsec).
First, convert the parallax to arcseconds: 1 mas = 0.001 arcseconds.
Now apply the distance formula: d = 1 / 0.001 = 1000 parsecs. This matches option a, which states 1000 pc.
Option b, 100 pc, would correspond to a parallax of p = 1 / 100 = 0.01 arcseconds, i.e., 10 mas, which is inconsistent with the given 1 mas.
Option c, 10 pc, would require a parallax of p = 1 / 10 = 0.1 arcseconds (100 mas), again far from 1 mas.
Option d, 1 pc, would imply p = 1 arcsecond, not 1 mas, so it is also incorrect.
In summary, the distance calculation using the provided parallax directly leads to 1000 parsecs, while the other options arise from mismatched parallax values or unit conversions.

ASTR 350 ONL FA25: Big Bang,Black Holes,Universe (Liu, X)

Deneb is the brightest star in the constellation of Cygnus and the 19th brightest star in the night sky. Its parallax is estimated as ~1 mas, where 1 mas = 0.001 arcsecond. What is its distance from us? (Hint: d (pc) = 1 / p(arcsecond) )

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