1
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

What is the maximum height attained by a body projected with a velocity equal to one-third of the escape velocity from the surface of the earth? (Radius of the earth $$=R$$ )

A
$$R / 2$$
B
$$R / 3$$
C
$$R / 5$$
D
$$R / 8$$
2
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

Two satellites $$S_1$$ and $$S_2$$ are revolving round a planet in coplanar circular orbits of radii $$r_1$$ and $$r_2$$ in the same direction, respectively. Their respective periods of revolution are $$1 \mathrm{~h}$$ and $$8 \mathrm{~h}$$. The radius of orbit of satellite $$S_1$$ is equal to $$10^4 \mathrm{~km}$$. What will be their relative speed (in $$\mathrm{km} / \mathrm{h}$$) when they are closest?

A
$$\pi / 2 \times 10^4$$
B
$$\pi \times 10^4$$
C
$$2 \pi \times 10^4$$
D
$$4 \pi \times 10^4$$
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