1.  A planetary nebula has an angular diameter of 76 arc seconds and a distance of 5100 ly. What is its linear diameter (in ly)?  Hint:  Use the small-angle formula:  angular diameter (in arc seconds) 2.06 ✕ 105= linear diameter distance

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1.  A planetary nebula has an angular diameter of 76 arc seconds and a distance of 5100 ly. What is its linear diameter (in ly)? 

Hint:
 Use the small-angle formula: 
angular diameter (in arc seconds)
2.06 ✕ 105
=
linear diameter
distance

 

2.  Suppose a planetary nebula is 3.2 pc in diameter, and Doppler shifts in its spectrum show that the planetary nebula is expanding at 31 km/s. How old is the planetary nebula in yr? (Note: 1 pc = 3.1 ✕ 1013 km and 1 yr = 3.2 ✕ 107 s.)

 
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