1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
A body of mass (2M) splits into four masses (m, M $$-$$ m, m, M $$-$$ m}, which are rearranged to form a square as shown in the figure. The ratio of $${M \over m}$$ for which, the gravitational potential energy of the system becomes maximum is x : 1. The value of x is ............ .


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2
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
Suppose two planets (spherical in shape) in radii R and 2R, but mass M and 9M respectively have a centre to centre separation 8 R as shown in the figure. A satellite of mass 'm' is projected from the surface of the planet of mass 'M' directly towards the centre of the second planet. The minimum speed 'v' required for the satellite to reach the surface of the second planet is $$\sqrt {{a \over 7}{{GM} \over R}} $$ then the value of 'a' is ____________.
[Given : The two planets are fixed in their position]

[Given : The two planets are fixed in their position]

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3
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity is increased 10 times is ___________.
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4
JEE Main 2021 (Online) 16th March Evening Shift
Numerical
+4
-1
If one wants to remove all the mass of the earth to infinity in order to break it up completely.
The amount of energy that needs to be supplied will be $${x \over 5}{{G{M^2}} \over R}$$ where x is __________ (Round off to the Nearest Integer) (M is the mass of earth, R is the radius of earth, G is the gravitational constant)
The amount of energy that needs to be supplied will be $${x \over 5}{{G{M^2}} \over R}$$ where x is __________ (Round off to the Nearest Integer) (M is the mass of earth, R is the radius of earth, G is the gravitational constant)
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Questions Asked from Gravitation (Numerical)
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JEE Main 2022 (Online) 29th July Morning Shift (1)
JEE Main 2022 (Online) 26th June Morning Shift (1)
JEE Main 2022 (Online) 25th June Evening Shift (1)
JEE Main 2021 (Online) 1st September Evening Shift (1)
JEE Main 2021 (Online) 27th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Morning Shift (1)
JEE Main 2021 (Online) 17th March Morning Shift (1)
JEE Main 2021 (Online) 16th March Evening Shift (1)
JEE Main 2021 (Online) 26th February Evening Shift (1)
JEE Main 2021 (Online) 25th February Evening Shift (1)
JEE Main 2020 (Online) 8th January Evening Slot (1)
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