EASY

Earn 100

What are the uses of polar satellite ?

Important Questions on Gravitation

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A person jumps from the

5^{th}

storey of a building with load on his head. The weight experienced by him before reaching the earth will be

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A planet is moving in a circular orbit. It completes

2

revolutions in

360 days

. What is its angular frequency?

MEDIUM

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

Two satellites

A

and

B

are revolving with critical velocities

v_{A}

and

v_{B}

around the earth, in circular orbits of radii

R

and

2 R

respectively. The ratio

\frac{v_{A}}{v_{B}}

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

If the distance between sun and earth is

d

, then the angular momentum of earth around the sun is proportional to

HARD

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A test particle is moving in a circular orbit in the gravitational field produced by a mass density

ρ (r) = \frac{K}{r^{2}} .

Identify the current relation between the radius

R

of the particle’s orbit and its period

T :

MEDIUM

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

If the angular momentum of a planet of mass

m,

moving around the Sun in a circular orbit is

L,

about the center of the Sun, its areal velocity is:

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A satellite is launched to a distance

r

from the centre of the earth to have a circular orbit around the earth. Its orbital velocity to maintain this orbit is (mass of the earth as

M_{E}

)

HARD

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

Two satellites

A

and

B

of masses

200 kg

and

400 kg

are revolving round the earth at height of

600 km

and

1600 km

respectively. If

T_{A}

and

T_{B}

are the time periods of

A

and

B

respectively then the value of

T_{B} - T_{A}

Question Image

[ Given : radius of earth $= 6400 km,$ mass of earth $= 6 \times 10^{24} kg$ ]

MEDIUM

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A spaceship orbits around a planet at a height of

20 k m

from its surface. Assuming that only gravitational field of the planet acts on the spaceship, what will be the number of complete revolutions made by the spaceship in

24

hours around the planet?
[Given: Mass of planet

= 8 \times 10^{22} k g

,
Radius of planet

= 2 \times 10^{6} m,

Gravitational constant

G = 6.67 \times 10^{- 11} N m^{2} / k g^{2}

]

HARD

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

The mass density of a spherical galaxy varies as

\frac{K}{r}

over a large distance

r

from its center. In that region, a small star is in a circular orbit of radius

R

. Then the period of revolution,

T

depends on

R

as:

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A geostationary satellite orbits around the earth in a circular orbit of radius

36000 km

. Then, the time period of a sky satellite orbiting a few

100 km

above the earth's surface

(R = 64000 km)

will approximately be

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

The relative uncertainty in the period of a satellite orbiting around the earth is

10^{- 2}

. If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is:

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

MEDIUM

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

Define binding energy and obtain an expression for binding energy of a satellite revolving in a circular orbit round the earth.

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

Earth revolves round the sun in a circular orbit of radius

R

. The angular momentum of the revolving earth is directly proportional to

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A geostationary satellite is orbiting the earth at a height

6 R

above the surface of the earth, where

R

is the radius of the earth. The time period of another satellite at a height

(2.5 R)

from the surface of the earth is

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

Consider two satellites

S_{1}

and

S_{2}

with periods of revolution

1 hr

and

8 hr

respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite

S_{1}

to the angular velocity of satellite

S_{2}

is:

EASY

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A body is moving in a low circular orbit about a planet of mass

M

and radius

R

. The radius of the orbit can be taken to be

R

itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:

MEDIUM

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

A satellite is revolving in a circular orbit at a height

h

from the earth's surface (radius of earth

R

;

h << R

). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to (Neglect the effect of atmosphere.)

MEDIUM

Physics>Mechanics>Gravitation>Geostationary and Polar Satellites

The minimum number of geostationary satellites required for uninterrupted global coverage is

What are the uses of polar satellite ?

Important Questions on Gravitation

Learn and Prepare for any exam you want !