1- Galileo\'s telescope showed him that Venus has a large angular diameter (61 s

Question

1- Galileo's telescope showed him that Venus has a large angular diameter (61 seconds of arc) when it is a crescent and a small angular diameter (10 seconds of arc) when it is nearly full. When Venus is "half full," its angular size is about 59 seconds of arc.

This sequence of phases and angular sizes indicates that Venus

a) stays a fixed distance from the Earth always closer than the sun

b) circles the Earth staying a fixed distance closer to the Earth than the sun

c) stays a fixed distance from the Earth, always farther than the sun

d)circles the sun.

2) If a space probe is sent into an orbit around the sun that brings it as close as 1.0 AU and as far away as 2.9 AU, what will be its orbital period in years?

a)2.7

b)1

c) 14

d) 7.4

e) 28

3- Compare the force of gravity on the surface of Venus with the force of gravity at Earth's surface. Mass of Venus is 0.815 that of the Earth and its radius is 0.95 that of the Earth (F venus/ F earth)

a) .86

b) .82

c) .90

d) .95

Explanation / Answer

1)c

2) orbital period(p)=((d2-d1)^3)

Here d2 is 2.9AU,d1 is 1.0AU

p= (2.9-1)^3=(1.9)^3= 2.618years

3) a

F= gm/r

Here g is same both by given information,so

By comparing both forces of earth and Venus

m/r = 0.815m/0.95r

Then the answer is 0.86

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