Gravitation part 3
1. If Ve and Vo represent the escape velocity and orbital velocity of a
satellite corresponding to a circular orbit of radius R, then
a. Ve = Vo
b. √2 Vo = Ve
c. Ve = Vo/√2
d. Ve and Vo are not related
2. Select the correct statement
a. The orbital velocity of a satellite increase with the radius of
the orbit
b. Escape velocity of a particle from the surface of the earth
depends on the speed with which it is fired
c. The time period of a satellite does not depends on the
radius of the orbit
d. The orbital velocity is inversely proportional to the square
root of the radius of the radius of the orbit
3. Two satellite of mass M1 and M2 ( M1 > M2 ) are revolving
round the earth in circular orbits of radius r1 and r2 ( r1 > r2 )
respectively. Which of the following statements is true
regarding their speeds V1 and V2 ?
a. V1 = V2
b. V1 < V2
c. V1 > V2
d. V1/r1 = V2/r2
4. The ratio of the kinetic energy required to be given to the satellite
to escape earth’s gravitational field to the Kinetic energy required
to be given so that the satellite moves in a circular orbit just
above earth atmosphere
a. One
b. Two
c. Half
d. Infinity
5. The period of satellite in a circular orbit around a planet is
independent of
a. The mass of the planet
b. The radius of the planet
c. The mass of the satellite
d. All the three parameters
6. Two satellites A and B go round a planet P in circular orbits having
radii 4R and R respectively. If the speed of the satellite A is 3V,
the speed of the satellite B will be.
a. 12 V
b. 6V
c. 4/3 V
d. 3/2 V
7. A satellite revolves around the earth in an elliptical orbit. Its speed
a. Is the same at all points in the orbit
b. Is greater when it is closest to the earth
c. Is greater when it is farthest from the earth
d. Goes on increasing or decreasing continuously depending upon
the mass of the satellite
8. If the height of a satellite from the earth is negligible in
comparison to the radius of the earth R, the orbital velocity of the
satellite is
a. gR
b. gR/2
c. √(g/R)
d. √ (gR)
11. Choose the correct statement from the following : The radius
of the orbit of a geostationary satellite depends upon
A)
Mass of the satellite, its time period and the gravitational
constant
B)
Mass of the satellite, mass of the earth and the
gravitational constant
C)
Mass of the earth, mass of the satellite, time period of
the satellite and the gravitational constant
D)
Mass of the earth, time period of the satellite and the
gravitational constant
12.Out of the following, the only incorrect statement about
satellites is
A)
A satellite cannot move in a stable orbit in a plane passing
through the earth's centre
B)
Geostationary satellites are launched in the equatorial
plane
C)
We can use just one geostationary satellite for global
communication around the globe
D)
The speed of a satellite increases with an increase in
the radius of its orbit
13. Orbital velocity of an artificial satellite does not depend
upon
A)
Mass of the earth
B)
Mass of the satellite
C)
Radius of the earth
D)
Acceleration due to gravity
14.The time period of a geostationary satellite is
A)
24 hours
B)
12 hours
C)
365 days
D)
One month
15.Which one of the following statements regarding artificial
satellite of the earth is incorrect
A)
The orbital velocity depends on the mass of the satellite
B)
A minimum velocity of 8 km/sec is required by a
satellite to orbit quite close to the earth
C)
The period of revolution is large if the radius of its orbit
is large
D)
The height of a geostationary satellite is about 36000
km from earth
16.The weight of an astronaut, in an artificial satellite revolving
around the earth, is
A)
Zero
B)
Equal to that on the earth
C)
More than that on the earth
D)
Less than that on the earth
17.The periodic time of a communication satellite is
A)
6 hours
B)
12 hours
C)
18 hours
D)
24 hours
18. Where can a geostationary satellite be installed
A)
Over any city on the equator
B)
Over the north or South Pole
C)
At height R above earth
D)
At the surface of earth
19.Two satellite A and B, ratio of masses 3 : 1 are in circular
orbits of radii r and 4r. Then ratio of total mechanical energy
of A to B is
A)
1:3
B)
3:1
C)
3:4
D)
12 : 1
22. Which is constant for a satellite in orbit
A)
Velocity
B)
Angular momentum
C)
Potential energy
D)
Acceleration
E)
Kinetic energy
23.If satellite is shifted towards the earth. Then time period of
satellite will be
A)
Increase
B)
Decrease
C)
Unchanged
D)
Nothing can be said
24.A satellite of mass m is placed at a distance r from the
centre of earth (mass M). The mechanical energy of the
satellite is
A)
−GMm/r
B)
GMm/r
C)
GMm/2r
D)
−GMm/2r
