Question

a parsec is a convenient unit of length on the astronomical scale. it is the distance at which the arc of length 1 A.U subtends an angle of one second of an arc. show that 1 parsec=3.08*(10)^16​

Answer 1

Answer:

Parsec (pc)

1 pc = 3.08 x 1016 m

One parsec (pc) is the distance to a star that subtends and angle of 1 arc second at an arc length of 1 AU.

Astronomical Unit (AU)

1 AU = 1.50 x 1011 m

This is the average distance of the Earth from the sun.

Light year (lyr)

1 lyr = 9.46 x 1015m

The is the distance travelled by light in a vacuum in one year.

A light year is 5.9 x 1012 miles (approx 6 trillion miles).