Question

In December, you measure the location of stars A, B, and C in the night sky.6 months later, you measure the location of starts A, B, and C again.By doing this, you calculate the parallax.Here is your data:Star A: .67Star B: 1.2Star C: 35According to your parallax data, put the stars in order from CLOSEST to FURTHESTaway.A. A, B, CB. B, A, CC. C, A, B

Answer 1

iven:

he aangles of the stars;

Star A: p_A=0.67 arcsec

Star B: p_B=1.2 arcsec

Star C: p_C=0.35 arcsec

To find:xoplanation:

Order of the stars according to their distance.

he distacnce of a star in parsec is calculated using the formula,

`D=(1)/(p)`

Where p is the angles made by the stars in arcseconds.

On substituting the known values:

Star A,

`\begin{gathered} D_A=(1)/(p_A) \\ =(1)/(0.67) \\ =1.5\text{ parsec} \end{gathered}`

Star B,

`\begin{gathered} D_B=(1)/(p_B) \\ =(1)/(1.2) \\ =0.83\text{ parsec} \end{gathered}`

Star C,

`\begin{gathered} D_C=(1)/(p_C) \\ =(1)/(0.35) \\ =2.9\text{ parsec} \end{gathered}`

inal answer:

Thus the closest star is star B and the farthest star is star C.

Thus the correct answer is option B.