6.Rigel and Betelgeuse are the two brightest stars in Orion.Considering that the right ascensions of Rigel and Betelgeuseare05h 14m 32s (Rigel) and 05h 55m 10s (Betelgeuse) respectively, whatis the angular separation in right ascension (in decimal degrees)between these two stars?(a)10.16deg

(b)4.75deg

(c)10.19deg

(d)11.16deg

(e)0.677deg

7.Kepler-442b is a potentially habitable exoplanet around 370parsecs (1206 light years)from Earth. Approximate values for theradius and mass of the planet are1.34 REand 2.30ME, where REandMEare the radius and mass of the Earth,respectively. You should usethe formula for the acceleration of gravity from Newton’s Law ofUniversal Gravitation: a= GM/R2. Then, for the Earth itself, wehavea surface gravity of g= GME/RE2, Here, all these quantities forthe Earth have the value of one: RE=ME= g = 1 for these Earth-basedunits, implying the gravitational constant G=1 here also for thischoice ofunits. So,you just need to evaluate a= M/R2, to obtain aresult directly in units of ?, the Earth’s surface gravity. Now youshould be able to easily evaluate the surface gravity for exoplanetKepler-422b, as:(a)0.83 g

(b)1.72 g

(c)2.01 g

(d)1.28 g

(e)0.58 g

8.The mean distance of Neptune to the Sun is approximately 30times the mean distance of Earth to the Sun(30 AU). ConsiderNeptuneto bein opposition to the Earth, when Neptune transits the meridianat midnight and Earth isdirectly in line between Neptune and theSun. Assume the time it takes for light to travel from the Earth tothe Sun (a distance of 1 AU) is 8.32 minutes. If you broadcasted aradio wave from Earth to Neptune, assuming Neptune was inopposition and at a distance of 30 AU from the Sun, how long wouldyou have to waitbefore a signal was receivedback at Earth, afterreflecting off Neptune?Note that radio waves also travel at thespeed of light.

(a)4.16hours

(b)8.59hours

(c)8.04hours

(d)6.24hours

(e)8.32 hours

9.What would be the parallax of the star around whichKepler-442b orbits (Question 7above)?

(a)0.0014”

(b)0.0027”

(c)0.0054”

(d)0.0040”

10.Saturn is, on average, 9.55 times further from the Sun thanEarth. What is its orbital (sidereal) period, as found fromKepler's 3rd Law?

(a)29.5 yr (b)11.86 yr (c)1 yr (d)4.50yr