Entrance Studies

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Q.1

The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun?

2

3

4

5

Q.2

The orbital velocity of an artifical satellite in a circular orbit just above the earth surface is v. For a satellite orbiting at an altitude of half of the earth’s radius, the orbital velocity is

3v / 2

v√(3/2)

v√(2/3)

2/3 v

Q.3

If ve and v0 represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, than

ve a= v0

ve = √2 v0

ve = v0 / √2

ve and v0 are not related

Q.4

The time period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4 R is

4 T

T / 4

8T

T / 8

Q.5

Two plants of radii R1 and R2 are made from the same material. The ratio of the acceleration of gravity g1 / g2 at the surfaces of the two planets is

R1 / R2

R2 / R1

(R1 / R2 )2

(R2 / R1 )2

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