MEDIUM
JEE Main
IMPORTANT
Earn 100

Inside a uniform spherical shell :

(a) The gravitational field is zero.

(b) The gravitational potential is zero.

(c) The gravitational field is the same everywhere.

(d) The gravitation potential is the same everywhere.

(e) All the above.

Choose the most appropriate answer from the options given below:

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Important Questions on Gravitation

MEDIUM
JEE Main
IMPORTANT

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 Mm for which, the gravitational potential energy of the system becomes maximum is x : 1. The value of x is ________.

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MEDIUM
JEE Main
IMPORTANT
A mass of 50 kg is placed at the center of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitational potential at a point, 25 m from the center is V kg m-1. The value of V is:
MEDIUM
JEE Main
IMPORTANT
The masses and radii of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are at a distance r apart. Find the minimum escape velocity for a particle of mass m  to be projected from the middle of these two masses :
MEDIUM
JEE Main
IMPORTANT
If RE be the radius of Earth, then the ratio between the acceleration due to gravity at a depth r below and a height r above the earth surface is:
(Given : r<RE)
MEDIUM
JEE Main
IMPORTANT

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 :

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EASY
JEE Main
IMPORTANT
Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour and 8 hours respectively. The radius of the orbit of nearer satellite is 2×103 km. The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closest is πxradh-1, where x is _______.
MEDIUM
JEE Main
IMPORTANT

A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the
surface of the Earth and Mars as 10 m s-2 and 4 m s-2, respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.

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EASY
JEE Main
IMPORTANT
A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circular orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is: