1
NEET 2023 Manipur
MCQ (Single Correct Answer)
+4
-1
Change Language

The escape velocity of a body on the earth surface is $$11.2 \mathrm{~km} / \mathrm{s}$$. If the same body is projected upward with velocity $$22.4 \mathrm{~km} / \mathrm{s}$$, the velocity of this body at infinite distance from the centre of the earth will be:

A
$$11.2 \sqrt{2} \mathrm{~km} / \mathrm{s}$$
B
Zero
C
$$11.2 \mathrm{~km} / \mathrm{s}$$
D
$$11.2 \sqrt{3} \mathrm{~km} / \mathrm{s}$$
2
NEET 2023 Manipur
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$\mathrm{R}$$ is the radius of the earth and $$\mathrm{g}$$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be :

A
$$\frac{\pi \mathrm{RG}}{12 \mathrm{~g}}$$
B
$$\frac{3 \pi R}{4 g G}$$
C
$$\frac{3 g}{4 \pi R G}$$
D
$$\frac{4 \pi \mathrm{G}}{3 g R}$$
3
NEET 2023
MCQ (Single Correct Answer)
+4
-1
Change Language

Two bodies of mass $$m$$ and $$9 m$$ are placed at a distance $$R$$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ($$G=$$ gravitational constant) :

A
$$-\frac{12 G m}{R}$$
B
$$-\frac{16 G m}{R}$$
C
$$-\frac{20 G m}{R}$$
D
$$-\frac{8 G m}{R}$$
4
NEET 2023
MCQ (Single Correct Answer)
+4
-1
Change Language

A satellite is orbiting just above the surface of the earth with period $$T$$. If $$d$$ is the density of the earth and $$G$$ is the universal constant of gravitation, the quantity $$\frac{3 \pi}{G d}$$ represents :

A
$$T^{2}$$
B
$$T^{3}$$
C
$$\sqrt{T}$$
D
$$T$$
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