Question

The stellar parallax of the star Arcturus in the constellation Boötes was measures with 0.0900

.

(a) Calculate the distance (in parsec) between Arcturus and the Earth.

(b) How long does it take to send a light message from Earth to Arcturus?​

Answer 1

Answer:

11 and 37

Explanation:

a) The relationship between a star's distance and its parallax angle is described as -

d = 1/p --- eq(1)

Using equation (1) we get -

d=11.11 parsecs

Thus, the distance between Arcturus and the Earth is 11.11 parsecs

b) 1 light-year=0.3 parsecs

Thus, 11.11 parsecs=37 light-year

= 11.11 parsecs  = 37 light-year

Therefore, it will take 37 light years it to send a light message from Earth to Arcturus