HARD

JEE Advanced

IMPORTANT

Earn 100

Two satellites $S_{1}$ and $S_{2}$ are revolving around the earth in coplanar concentric orbits in the opposite sense. At $t = 0$ , the positions of satellites are shown in the diagram. The periods of $S_{1}$ and $S_{2}$ are $4 h$ and $24 h$ , respectively. The radius of orbit of $S_{1}$ is $1.28 \times 10^{4} km .$ For this situation, mark the correct statement

50% studentsanswered this correctly

Important Questions on Gravitation

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 28

Consider two satellites $A$ and $B$ of equal mass $m$ , moving in the same circular orbit about the earth, but in the opposite sense as shown in figure. The orbital radius is $r$ The satellites undergo a collision which is perfectly inelastic. For this situation, mark out the correct statement(s). [Take mass of earth as $M$ ]

Question Image

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 29

A particle of mass

m

is thrown in a parabolic path towards earth having mass

M

and radius

R .

It comes to the greatest approach distance

\frac{R}{2}

from the surface of the earth. The magnitude of total energy change required to make the particle moving in an elliptical path having eccentricity

\frac{1}{2}

, with the greatest approach point either aphelion or perihelion are,

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 30

An artificial satellite of the mass,

m

is moving in a circular orbit around the earth of mass,

M

and radius,

R

with a speed equal to half of the magnitude of escape velocity on the surface of the earth (

g =

acceleration due to gravity on the surface of the earth). Then

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 31

Two particles of mass

m

and

4 m

are at rest at infinite separation. They move towards each other under mutual gravitational attraction. If

G

is the universal gravitational constant. Then at separation,

r

, (Assume zero reference potential energy at infinite separation)

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 32

A satellite is orbiting round the earth's surface in an orbit as close as possible to the surface of the earth. Then.

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 33

Two spherical planets have the same mass but densities in the ratio

1 : 8

. For these planets, the

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 1

The earth (mass

= 10^{24} k g

) revolves around the Sun with an angular velocity,

2 \times 10^{- 7} r a d s^{- 1}

in a circular orbit of radius,

1.5 \times 10^{8} k m

. Find the force exerted by the Sun on the earth (in

\times 10^{21} N

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 5 - Gravitation>Exercises>Q 2

The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is

R

and the radius of the planet is

R'

. Then what is the value of

\frac{R}{R'}

Important Questions on Gravitation

Learn and Prepare for any exam you want !