The nearest star to our solar system is 4.29 light years away. How mcuh is this distance in terms of par sec ? How mcuh parallax would this star show when viewed from two locations of the earth six months apart in its orbit around the sun?

Explanation

As distance, d= 4.29 light years
`=4.29xx9.46xx10^(15)m`
`=(4.29xx9.46xx10^(15))/(3.00xx10^(16))` parsec
`=1.317" parsec " approx 1.32` parsec.
A parsec distance subtends a parallax angle of 1.. for a base equal to radius of earth.s orbit around the sun. In present case, base is the distance between two locations of earth six months apart, i.e. l=2AU parallax angle subtended by 1 parsec distance = 2 second ( by defination)
Parallax angle subtended by the star at given base, `theta=1.32xx2= 2.64..`