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Question -

The nearest star to our solar system is 4.29 light years away. Howmuch is this distance in terms of parsecs? How much parallax would this star(named Alpha Centauri) show when viewed from two locations of theEarth six months apart in its orbit around the Sun?



Answer -

Distance of the star from the solar system = 4.29 ly

1 light year is the distance travelled by light in one year.

1 light year = Speed of light × 1 year

= 3 × 108 × 365 × 24 × 60 × 60 = 94608 × 1011 m

4.29 ly = 405868.32 × 1011 m

1 parsec = 3.08 × 1016 m

4.29 ly = = 1.32 parsec

Using the relation,

But, 1 sec = 4.85 × 10–6 rad

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