JEE Main 2014 (Offline) | Gravitation Question 166 | Physics

Four particles, each of mass $$M$$ and equidistant from each other, move along a circle of radius $$R$$ under the action of their mutual gravitational attraction. The speed of each particle is :

$$\sqrt {{{GM} \over R}} $$

$$\sqrt {2\sqrt 2 {{GM} \over R}} $$

$$\sqrt {{{GM} \over R}\left( {1 + 2\sqrt 2 } \right)} $$

$${1 \over 2}\sqrt {{{GM} \over R}\left( {1 + 2\sqrt 2 } \right)} $$

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

What is the minimum energy required to launch a satellite of mass $$m$$ from the surface of a planet of mass $$M$$ and radius $$R$$ in a circular orbit at an altitude of $$2R$$?

$${{5GmM} \over {6R}}$$

$${{2GmM} \over {3R}}$$

$${{GmM} \over {2R}}$$

$${{GmM} \over {3R}}$$

AIEEE 2012

MCQ (Single Correct Answer)

-1

The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth's surface out into free space. The value of $$g$$ and $$R$$ (radius of earth ) are $$10\,m/{s^2}$$ and $$6400$$ $$km$$ respectively. The required energy for this work will be:

$$6.4 \times {10^{11}}\,$$ Joules

$$6.4 \times {10^8}\,$$ Joules

$$6.4 \times {10^9}\,$$ Joules

$$6.4 \times {10^{10}}\,$$ Joules

AIEEE 2011

MCQ (Single Correct Answer)

-1

Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The gravitational potential at a point on the line joining them where the gravitational field is zero is:

$$ - {{4Gm} \over r}$$

$$ - {{6Gm} \over r}$$

$$ - {{9Gm} \over r}$$

zero

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