1
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

The time period of a satellite, revolving above earth's surface at a height equal to $$\mathrm{R}$$ will be

(Given $$g=\pi^{2} \mathrm{~m} / \mathrm{s}^{2}, \mathrm{R}=$$ radius of earth)

A
$$\sqrt{32 R}$$
B
$$\sqrt{4 \mathrm{R}}$$
C
$$\sqrt{8 R}$$
D
$$\sqrt{2 R}$$
2
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

Given below are two statements:

Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g)

Statement II : The effect of rotation of the earth on the value of 'g' at the equator is minimum and that at the pole is maximum.

In the light of the above statements, choose the correct answer from the options given below

A
Statement I is false but statement II is true
B
Statement I is true but statement II is false
C
Both Statement I and Statement II are true
D
Both Statement I and Statement II are false
3
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1

Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is

A
3 : 1
B
$$\sqrt3$$ : 1
C
1 : 1
D
9 : 1
4
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $$d=\frac{R}{2}$$ from the surface of earth, if its weight on the surface of earth is 200 N, will be:

(Given R = radius of earth)

A
100 N
B
400 N
C
300 N
D
500 N
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