1
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1

The ratio of escape velocity of a planet to the escape velocity of earth will be:-

Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth.

A
$$1: 4$$
B
$$1: \sqrt{2}$$
C
$$4: 1$$
D
$$2: 1$$
2
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1

Two satellites $$\mathrm{A}$$ and $$\mathrm{B}$$ move round the earth in the same orbit. The mass of $$\mathrm{A}$$ is twice the mass of $$\mathrm{B}$$. The quantity which is same for the two satellites will be

A
Potential energy
B
Kinetic energy
C
Total energy
D
Speed
3
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1

A space ship of mass $$2 \times 10^{4} \mathrm{~kg}$$ is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcome the gravitational pull will be (if $$g=10 \mathrm{~m} / \mathrm{s}^{2}$$ and radius of earth $$=6400 \mathrm{~km}$$ ):

A
$$7.9(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$$
B
$$11.2(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$$
C
$$7.4(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$$
D
$$8(\sqrt{2}-1) \mathrm{km} / \mathrm{s}$$
4
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1

If $$\mathrm{V}$$ is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:-

A
$$\frac{3 \mathrm{~V}}{2}$$
B
$$\frac{\mathrm{V}}{2}$$
C
$$\frac{4}{3} \mathrm{~V}$$
D
$$\mathrm{V}$$
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