1
AIIMS 2018
MCQ (Single Correct Answer)
+1
-0.33

Two satellites $$A$$ and $$B$$ revolve round the same planet in coplanar circular orbits lying in the same plane. Their periods of revolutions are $$1 \mathrm{~h}$$ and $$8 \mathrm{~h}$$, respectively. The radius of the orbit of $$A$$ is $$10^4 \mathrm{~km}$$. The speed of $$B$$ is relative to $$A$$. When they are closed in $$\mathrm{km} / \mathrm{h}$$ is

A
$$3 \pi \times 10^4$$
B
zero
C
$$2 \pi \times 10^4$$
D
$$\pi \times 10^4$$
2
AIIMS 2018
MCQ (Single Correct Answer)
+1
-0.33

A planet is revolving around the sun in a circular orbit with a radius $$r$$. The time period is $$T$$. If the force between the planet and star is proportional to $$r^{-3 / 2}$$, then the square of time period is proportional to

A
$$r^{3 / 2}$$
B
$$r^2$$
C
$$r$$
D
$$r^{5 / 2}$$
3
AIIMS 2018
MCQ (Single Correct Answer)
+1
-0.33

The weight of a body on the surface of the earth is 63 N. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?

A
35 N
B
28 N
C
18 N
D
40 N
4
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

A space ship is launched into a circular orbit close to earth’s surface. What additional velocity has now to be imparted to the spaceship in the orbit to overcome the gravitational pull?

(Radius of earth = 6400 km, g = 9.8 m/s$$^2$$)

A
3.28 km/s
B
12 km/s
C
10 km/s
D
40 km/s
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