IIT JEE/IIT JEE Gravitation part 2 Sample Test,Sample questions

Question:
 research satellite of mass 200 kg circles the Earth in an orbit of average radius 3R/2 where R is the radius of the Earth. Assuming the gravitational pull on a mass 1 kg on Earth s surface to be 10 N the pull on the satellite will be

1.880 N

2.889 N

3.890 N

4.892 N


Question:
A body is orbiting around the Earth at a mean radius 16 times as great as the parking orbit of a satellite. The period of the body is

1.8 days

2.16 days

3.64 days

4.365 days


Question:
A body is raised to a height h so that the force of gravity on body is 1% of the value on the surface of Earth. If the radius of the Earth is 6400 km then the value of h is

1.57600 km

2.5999 km

3.9.8 km

4.0.98 km


Question:
A body weighs 63 N on the surface of the Earth. At a height h above the surface of Earth its weight is 28 N while at a depth h below the surface of Earth the weight is 31.5 N. The value of h is

1.0.4 R

2.0.5 R

3.0.8 R

4.R


Question:
A communication satellite is put in an orbit around the Earth. What is the approximate time taken by a radiowave to go to the satellite and come back to the Earth ?

1.1 / 4 s

2.1 / 8 s

3.1 s

4.12 s


Question:
A man weighs W on the surface of Earth. What is his weight at a height equal to R ?

1.W

2.W/2

3.W /4

4.W /8


Question:
A mass m is raised from the surface of Earth to a point which is at a height nR from the surface of Earth. Change in potential energy is

1.mgR / n

2.n / n + 1 (mgR )

3.nmgR

4.2mgR / n


Question:
A missile which missed its target went into orbit around the Earth at a mean radius 4 times as great as the parking orbit of a satellite. The period of the missile is

1.4 days

2.8 days

3.16 days

4.64 days


Question:
A satellite in a circular orbit of radius R has period 4 hours. A satellite of orbit radius 4R around the same planet will have period

1.8h

2.16h

3.32h

4.64h


Question:
A satellite is circling around the Earth at a distance x from the centre of Earth. If the radius of the circular orbit is reduced by 1% then the speed will increase by

1.0.50%

2.1%

3.2%

4.3%


Question:
A satellite is launched in a circular orbit of radius R and another satellite is launched in circular orbit of radius 1.01 R. The time period of second satellite is different from that of the first satellite by

1.1.5% increased

2.1% decreased

3.1% increased

4.1.5% decreased


Question:
A satellite is revolving in an orbit close to the surface of Earth with kinetic energy K. When the kinetic energy is increased to nK the satellite escapes. What is the minimum value of n ?

1.2

2.2.5

3.4

4.5


Question:
A satellite of mass m is revolving round the Earth at a height R above the surface of the Earth. If g is the gravitational intensity at the earth surface and R is the radius of the Earth then the kinetic energy of the satellite will be

1.mgR / 4

2.mgR / 2

3.mgR

4.2mg / R


Question:
An artificial satellite is moving in a circular orbit around the Earth with a speed equal to half the magnitude of escape velocity from the Earth. The height of satellite above the surface of Earth is (where R = radius of Earth.)

1.R

2.2R

3.3R

4.4R


Question:
An object weighs 98 N at the north pole of Earth. What is its true weight in a geostationary satellite whose distance from the centre of Earth is 7R where R is the radius of the Earth ?

1.1 N

2.2 N

3.7 N

4.9 N


Question:
Explorer 38 a radio-astronomy satellite of mass 200 kg circles the Earth in an orbit of average radius 3R / 2 where R is the radius of the Earth. Assuming the gravitational pull on a mass of 1 kg at the earths surface to be 10 N calculate the pull on the satellite

1.889 N

2.89 N

3.8889 N

4.8.9 N


Question:
If Earth describes an orbit round the Sun of double its present radius the year on Earth will be of

1.182 days

2.1032 days

3.730 days

4.None of these.


Question:
If the Earth suddenly shrinks to half of its present radius then the acceleration due to gravity will be

1.g

2.2g

3.4g

4.8g


Question:
In order to shift a body of mass m from a circular orbit of radius 3R to a orbit of radius 5R around the Earth the work done is

1.3GMm / 5R

2.GMm / 2R

3.2 / 15 GMm / R

4.GMm / 5R


Question:
Masses of 1 kg each are placed 1 m 2m 4 m 8 m??from a point P. The gravitational field intensity at P due to these masses is

1.G

2.2G

3.4G

4.4G/3


Question:
Radius of the Earth is 6000 km. Weight of a body on the surface of Earth is 120 kg wt. If it is taken to a height of 2000 km above the surface of Earth its weight is

1.60 kg wt.

2.40 kg wt.

3.67.5 kg wt.

4.47.5 kg wt.


Question:
Suppose Earth s orbit motion around the Sun is suddenly stopped. What time the Earth shall take to fall into the Sun ?

1.5 days

2.27.3 days

3.two months

4.1 year


Question:
Suppose Moon s orbital motion around the earth is suddenly stopped. What time the Moon shall take to fall on to the Earth ?

1.5 days

2.27.3 days

3.two months

4.1 year


Question:
The accentricity of Earth s orbit is 0.017. The ratio of the maximum speed in its orbit to its minimum speed is

1.1

2.1.017

3.1.034

4.1.051


Question:
The diameters of two planets are in the ratio of 4 : 1. Their mean densities are in the ratio 1 : 2. The ratio of accelerations due to gravity on the planets is

1.2:01

2.1:02

3.4:01

4.1:04


Question:
The force of gravitational attraction between the Earth and a geostationary satellite of mass 1 quintal is nearly

1.10 N

2.20 N

3.30 N

4.40 N


Question:
The gravitational potential difference between the surface of a planet and a point 20 m above the surface is 2 joule/kg. If the gravitational field is uniform then the work done in carrying a 5 kg body to a height of 4 m above the surface is

1.2 J

2.20 J

3.40 J

4.10J


Question:
The gravitational potential energy of a body of mass m at a distance r from the centre of the Earth is U. What is the weight of the body at this distance ?

1.U

2.Ur

3.U / r

4.U / 2r


Question:
The increase in gravitational potential energy of an object of mass m raised from the surface of Earth to a height equal to the radius R of Earth is

1.mgR

2.mgR / 2

3.mgR / 3

4.mgR / 4


Question:
The K.E. of a satellite is 2 MJ. What is the total energy of the satellite ?

1.-2 MJ

2.-1 MJ

3.- 1 / 2 MJ

4.-4 MJ.


Question:
The period of revolution of planet A around the Sun is 8 times that of B. The distance of A from the Sun is n times greater than the distance of B from the Sun. The value of n is

1.4

2.8

3.12

4.16


Question:
The radius of the Earth shrinks by 1% its mass remaining the same. The percentage change in the value of g is

1.-2%

2.2%

3.-3%

4.4%


Question:
The ratio of the kinetic energy required to be given to a satellite so that it escapes the gravitational field of Earth to the kinetic energy required to put the satellite in a circular orbit just above the free surface of Earth is

1.1

2.2

3.3

4.9


Question:
The ratio of the radius of the Earth to that of moon is 10. The ratio of acceleration due to gravity on Earth and on Moon is 6. The ratio of the escape velocity from the surface of Earth to that from the Moon is

1.10

2.5

3.nearly 8

4.1.66


Question:
The value of g at a certain height h above the free surface of Earth is x / 4 where x is the value of g at the surface of Earth. The height h is

1.R

2.2R

3.3R

4.4R


Question:
Two satellite A and B go around a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3v the speed of satellite B would be

1.12V

2.6V

3.(3 / 2)V

4.(4 / 3)V


Question:
Two satellite move in circular orbits around the Earth at distance 9000 km and from the centre of Earth. If the nearer satellite has a period of revolution of 90 minutes around the Earth then the difference in the period of revolution around the Earth is

1.3 s

2.6 s

3.9 s

4.12 s


Question:
What is the percentage change in the value of g as we shift from equator to pole on the surface of Earth ? (Given : Equatorial radius of Earth is greater than polar radius by 21 km and mean radius of Earth = 6300 km)

1.0.10%

2.0.50%

3.0.67%

4.10%


Question:
What is the weight of a body at a distance 2r from the centre of the Earth if the gravitational potential energy of the body at a distance r from the centre of the Earth is U ?

1.U / 2r

2.U / 3r

3.U / 4r

4.Ur


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