1
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth).

A
g/2
B
g/4
C
g/3
D
g/9
2
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :

A
$$\sqrt 3$$ years
B
3 years
C
9 years
D
3$$\sqrt 3$$ years
3
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

The approximate height from the surface of earth at which the weight of the body becomes $${1 \over 3}$$ of its weight on the surface of earth is :

[Radius of earth R = 6400 km and $$\sqrt 3$$ = 1.732]

A
3840 km
B
4685 km
C
2133 km
D
4267 km
4
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is :

A
$${1 \over 2}\sqrt {{{GM} \over {R(2\sqrt 2 + 1)}}}$$
B
$${1 \over 2}\sqrt {{{GM} \over R}(2\sqrt 2 + 1)}$$
C
$${1 \over 2}\sqrt {{{GM} \over R}(2\sqrt 2 - 1)}$$
D
$$\sqrt {{{GM} \over R}}$$
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