Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.

4801.

An earth satellite S has an orbit radius which is 4 times that of a communication satellite C. The period of revolution of S is                          [MP PMT 1994; DCE 1999]

A. 4 days 
B.             8 days
C.             16 days
D.               32 days
Answer» C.             16 days
4802.

Which is constant for a satellite in orbit [Bihar CMEET 1995]

A. Velocity
B.               Angular momentum
C.             Potential energy          
D.             Acceleration
E.             Kinetic energy
Answer» C.             Potential energy          
4803.

When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy, then r and v change as           [JIPMER 2002; EAMCET 2000]

A. r and v both with increase
B.             r and v both will decrease
C.             r will decrease and v will increase
D.             r will decrease and v will decrease
Answer» D.             r will decrease and v will decrease
4804.

Potential energy of a satellite having mass ?m? and rotating at a height of \[6.4\times {{10}^{6}}m\] from the earth surface is [AIIMS 2000; CBSE PMT 2001; BHU 2001]

A.             \[-0.5\,mg{{R}_{e}}\]
B.             \[-mg{{R}_{e}}\]
C.             \[-2\,mg{{R}_{e}}\]
D.               \[4\,mg{{R}_{e}}\]
Answer» B.             \[-mg{{R}_{e}}\]
4805.

A satellite with kinetic energy \[{{E}_{k}}\] is revolving round the earth in a circular orbit. How much more kinetic energy should be given to it so that it may just escape into outer space           [KCET (Engg./Med.) 2001]

A.             \[{{E}_{k}}\]
B.             2\[{{E}_{k}}\]
C.             \[\frac{1}{2}{{E}_{k}}\]      
D.             3\[{{E}_{k}}\]
Answer» B.             2\[{{E}_{k}}\]
4806.

A satellite moves around the earth in a circular orbit of radius r with speed v. If the mass of the satellite is M, its total energy is                     [MP PMT 2001]

A.             \[-\frac{1}{2}M{{v}^{2}}\]
B.               \[\frac{1}{2}M{{v}^{2}}\]
C.             \[\frac{3}{2}M{{v}^{2}}\] 
D.             \[M{{v}^{2}}\]
Answer» B.               \[\frac{1}{2}M{{v}^{2}}\]
4807.

If the gravitational force between two objects were proportional to 1/R (and not as \[1/{{R}^{2}})\] where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to [CBSE PMT 1994; JIPMER 2001, 02]

A.             \[1/{{R}^{2}}\]       
B.             \[{{R}^{0}}\]
C.             \[{{R}^{1}}\]          
D.             1/R
Answer» C.             \[{{R}^{1}}\]          
4808.

Consider a satellite going round the earth in an orbit. Which of the following statements is wrong     [NCERT 1966]

A. It is a freely falling body
B.             It suffers no acceleration
C.             It is moving with a constant speed
D.             Its angular momentum remains constant
Answer» C.             It is moving with a constant speed
4809.

 The orbital velocity of a planet revolving close to earth's surface is                       [RPMT 2002, 03]

A.             \[\sqrt{2\,gR}\]
B.             \[\sqrt{gR}\]
C.             \[\sqrt{\frac{2g}{R}}\]           
D.             \[\sqrt{\frac{g}{R}}\]
Answer» C.             \[\sqrt{\frac{2g}{R}}\]           
4810.

 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                               [DCE 2002]

A. 1 : 3    
B.             3 : 1
C.             3 : 4    
D.             12 : 1
Answer» E.
4811.

 A satellite is to revolve round the earth in a circle of radius 8000 km. The speed at which this satellite be projected into an orbit, will be                           [Pb. PET 2002]

A.             \[3\,\,km/s\]     
B.             \[16\,\,km/s\]
C.             \[7.15\,\,km/s\]
D.               \[8\,\,km/s\]
Answer» D.               \[8\,\,km/s\]
4812.

Distance of geostationary satellite from the surface of earth \[radius\,\,({{R}_{e}}=6400\,\,km)\] in terms of \[{{R}_{e}}\]is           [Pb. PET 2000]

A.             \[13.76\,\,{{R}_{e}}\]
B.               \[10.76\,\,{{R}_{e}}\]
C.             \[6.56\,\,{{R}_{e}}\]
D.               \[2.56\,\,{{R}_{e}}\]
Answer» D.               \[2.56\,\,{{R}_{e}}\]
4813.

 Where can a geostationary satellite be installed                      [MP PMT 2004]

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
Answer» B.             Over the north or South Pole
4814.

A satellite is launched into a circular orbit of radius ?R? around earth while a second satellite is launched into an orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is                            [EAMCET 2003]

A. 0.7      
B.             1.0
C.             1.5      
D.             3
Answer» E.
4815.

The distance between centre of the earth and moon is 384000 km. If the mass of the earth is \[6\times {{10}^{24}}kg\] and \[G=6.66\times {{10}^{-11}}N{{m}^{2}}/k{{g}^{2}}\]. The speed of the moon is nearly                                      [MH CET 2002]

A. 1 km/sec
B.               4 km/sec
C.             8 km/sec
D.               11.2 km/sec
Answer» B.               4 km/sec
4816.

A geo-stationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is [UPSEAT 2002; AMU (Med.) 2002; Pb. PET 2003]

A. 10 hr   
B.             \[(6/\sqrt{2})\,hr\]
C.             6 hr     
D.             \[6\sqrt{2}\,hr\]
Answer» E.
4817.

Given radius of Earth ?R? and length of a day ?T? the height of a geostationary satellite is [G?Gravitational Constant, M?Mass of Earth]                                [MP PMT 2002]

A.              \[{{\left( \frac{4{{\pi }^{2}}GM}{{{T}^{2}}} \right)}^{1/3}}\]
B.               \[{{\left( \frac{4\pi GM}{{{R}^{2}}} \right)}^{1/3}}-R\]
C.             \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}-R\]
D.             \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}+R\]
Answer» D.             \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}+R\]
4818.

Periodic time of a satellite revolving above Earth?s surface at a height equal to R, radius of Earth, is [g is acceleration due to gravity at Earth?s surface]                                 [MP PMT 2002]

A.             \[2\pi \sqrt{\frac{2R}{g}}\]
B.               \[4\sqrt{2}\pi \sqrt{\frac{R}{g}}\]
C.             \[2\pi \sqrt{\frac{R}{g}}\]
D.               \[8\pi \sqrt{\frac{R}{g}}\]
Answer» C.             \[2\pi \sqrt{\frac{R}{g}}\]
4819.

If Gravitational constant is decreasing in time, what will remain unchanged in case of a satellite orbiting around earth                       [DCE 1999, 2001]

A. Time period
B.               Orbiting radius
C.             Tangential velocity      
D.             Angular velocity
Answer» D.             Angular velocity
4820.

The distance of a geo-stationary satellite from the centre of the earth (Radius R = 6400 km) is nearest to [AFMC 2001]

A. 5 R      
B.             7 R
C.             10 R    
D.             18 R
Answer» C.             10 R    
4821.

Which of the following statements is correct in respect of a geostationary satellite       [MP PET 2001]

A. It moves in a plane containing the Greenwich meridian
B.             It moves in a plane perpendicular to the celestial equatorial plane
C.             Its height above the earth?s surface is about the same as the radius of the earth
D.             Its height above the earth?s surface is about six times the radius of the earth
Answer» E.
4822.

The orbital speed of an artificial satellite very close to the surface of the earth is \[{{V}_{o}}\]. Then the orbital speed of another artificial satellite at a height equal to three times the radius of the earth is                            [Kerala (Engg.) 2001]

A.             \[4\,{{V}_{o}}\]        
B.             \[2\,{{V}_{o}}\]
C.             \[0.5\,{{V}_{o}}\]     
D.             \[4\,{{V}_{o}}\]
Answer» D.             \[4\,{{V}_{o}}\]
4823.

The periodic time of a communication satellite is [MP PMT 2000]

A. 6 hours
B.             12 hours
C.             18 hours
D.               24 hours
Answer» E.
4824.

In the following four periods                              [AMU 2000] Time of revolution of a satellite just above the earth?s surface \[({{T}_{st}})\] Period of oscillation of mass inside the tunnel bored along the diameter of the earth \[({{T}_{ma}})\] Period of simple pendulum having a length equal to the earth?s radius in a uniform field of 9.8 N/kg \[({{T}_{sp}})\] Period of an infinite length simple pendulum in the earth?s real gravitational field \[({{T}_{is}})\]

A.             \[{{T}_{st}}>{{T}_{ma}}\]
B.               \[{{T}_{ma}}>{{T}_{st}}\]
C.             \[{{T}_{sp}}<{{T}_{is}}\]
D.               \[{{T}_{st}}={{T}_{ma}}={{T}_{sp}}={{T}_{is}}\]
Answer» D.               \[{{T}_{st}}={{T}_{ma}}={{T}_{sp}}={{T}_{is}}\]
4825.

The weight of an astronaut, in an artificial satellite revolving around the earth, is                   [BHU 1999]

A. Zero
B.             Equal to that on the earth
C.             More than that on the earth
D.             Less than that on the earth
Answer» B.             Equal to that on the earth
4826.

An artificial satellite is placed into a circular orbit around earth at such a height that it always remains above a definite place on the surface of earth. Its height from the surface of earth is                              [AMU 1999]

A. 6400 km         
B.             4800 km
C.             32000 km
D.               36000 km
Answer» E.
4827.

A satellite whose mass is M, is revolving in circular orbit of radius r around the earth. Time of revolution of satellite is                                  [AMU 1999]

A.             \[T\propto \frac{{{r}^{5}}}{GM}\]
B.               \[T\propto \sqrt{\frac{{{r}^{3}}}{GM}}\]
C.             \[T\propto \sqrt{\frac{r}{G{{M}^{2}}/3}}\]
D.               \[T\propto \sqrt{\frac{{{r}^{3}}}{G{{M}^{1}}/4}}\]
Answer» C.             \[T\propto \sqrt{\frac{r}{G{{M}^{2}}/3}}\]
4828.

A ball is dropped from a spacecraft revolving around the earth at a height of 120 km. What will happen to the ball [CBSE PMT 1996; CPMT 2001; BHU 1999]

A. It will continue to move with velocity v along the original orbit of spacecraft
B.             It will move with the same speed tangentially to the spacecraft
C.             It will fall down to the earth gradually
D.             It will go very far in the space
Answer» B.             It will move with the same speed tangentially to the spacecraft
4829.

Select the correct statement from the following [MP PMT 1993]

A. The orbital velocity of a satellite increases 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 depend on the radius of the orbit
D.             The orbital velocity is inversely proportional to the square root of the radius of the orbit
Answer» E.
4830.

Which one of the following statements regarding artificial satellite of the earth is incorrect      [NDA 1995; MP PMT 2000]

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
Answer» B.             A minimum velocity of 8 km/sec is required by a satellite to orbit quite close to the earth
4831.

The mean radius of the earth is R, its angular speed on its own axis is \[\omega \] and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geostationary satellite will be                            [CBSE PMT 1992]

A.             \[{{R}^{2}}g/\omega \]
B.               \[{{R}^{2}}{{\omega }^{2}}/g\]
C.             \[Rg/{{\omega }^{2}}\]       
D.             \[{{R}^{2}}g/{{\omega }^{2}}\]
Answer» E.
4832.

For a satellite escape velocity is 11 km/s. If the satellite is launched at an angle of 60° with the vertical, then escape velocity will be [CBSE PMT 1993; RPMT 1997]

A. 11 km/s
B.               \[11\sqrt{3}\] km/s
C.             \[\frac{11}{\sqrt{3}}\] km/s
D.                           33 km/s
Answer» B.               \[11\sqrt{3}\] km/s
4833.

Two identical satellites are at R and 7R away from earth surface, the wrong statement is (R = Radius of earth) [RPMT 1997]

A. Ratio of total energy will be 4
B.             Ratio of kinetic energies will be 4
C.             Ratio of potential energies will be 4
D.             Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2
Answer» E.
4834.

Orbital velocity of earth's satellite near the surface is 7 km/s. When the radius of the orbit is 4 times than that of earth's radius, then orbital velocity in that orbit is [EAMCET (Engg.) 1995]

A. 3.5 km/s
B.               7 km/s
C.             72 km/s           
D.             14 km/s
Answer» B.               7 km/s
4835.

Orbital velocity of an artificial satellite does not depend upon                    [MP PMT 1996]

A. Mass of the earth        
B.             Mass of the satellite
C.             Radius of the earth     
D.             Acceleration due to gravity
Answer» C.             Radius of the earth     
4836.

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1%, its speed will         [MP PET 1996, 99, 2002]

A. Increase by 1%
B.               Increase by 0.5%
C.             Decrease by 1%          
D.             Decrease by 0.5%
Answer» C.             Decrease by 1%          
4837.

Out of the following, the only incorrect statement about satellites is             [Haryana CEE 1996]

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
Answer» E.
4838.

Choose the correct statement from the following : The radius of the orbit of a geostationary satellite depends upon [MP PMT 1995]

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
Answer» E.
4839.

If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M, the velocity of the satellite is given by           [CPMT 1974; MP PMT 1987; RPMT 1999]

A.             \[{{v}^{2}}=g\frac{M}{r}\]
B.               \[{{v}^{2}}=\frac{GMm}{r}\]
C.             \[v=\frac{GM}{r}\]
D.               \[{{v}^{2}}=\frac{GM}{r}\]
Answer» E.
4840.

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         [MP PET 1995; RPET 2001]

A. gR       
B.             gR/2
C.             \[\sqrt{g/R}\]   
D.             \[\sqrt{gR}\]
Answer» E.
4841.

In a satellite if the time of revolution is T, then K.E. is proportional to                     [BHU 1995]

A.             \[\frac{1}{T}\]
B.             \[\frac{1}{{{T}^{2}}}\]
C.             \[\frac{1}{{{T}^{3}}}\]      
D.             \[{{T}^{-2/3}}\]
Answer» E.
4842.

The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is v. For a satellite orbiting at an altitude of half of the earth's radius, the orbital velocity is [MNR 1994]

A.             \[\frac{3}{2}v\]          
B.             \[\sqrt{\frac{3}{2}}\,v\]
C.             \[\sqrt{\frac{2}{3}}\,v\]         
D.             \[\frac{2}{3}\,v\]
Answer» D.             \[\frac{2}{3}\,v\]
4843.

A satellite revolves around the earth in an elliptical orbit. Its speed      [NCERT 1981; MP PET 2001]

A. Is the same at all points in the orbit
B.             Is greatest when it is closest to the earth
C.             Is greatest when it is farthest from the earth
D.             Goes on increasing or decreasing continuously depending upon the mass of the satellite
Answer» C.             Is greatest when it is farthest from the earth
4844.

A small satellite is revolving near earth's surface. Its orbital velocity will be nearly [CPMT 1987; Orissa JEE 2002; JIPMER 2001, 02]

A. 8 km/sec
B.               11.2 km/sec
C.             4 km/sec
D.               6 km/sec
Answer» B.               11.2 km/sec
4845.

A geostationary satellite                                   [CPMT 1990]

A. Revolves about the polar axis
B.             Has a time period less than that of the near earth satellite
C.             Moves faster than a near earth satellite
D.             Is stationary in the space
Answer» B.             Has a time period less than that of the near earth satellite
4846.

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. [MNR 1991; AIIMS 1995; UPSEAT 2000]

A. 12 V    
B.             6 V
C.             \[\frac{4}{3}V\]         
D.             \[\frac{3}{2}V\]
Answer» C.             \[\frac{4}{3}V\]         
4847.

The relay satellite transmits the T.V. programme continuously from one part of the world to another because its                                         [MNR 1984, 93]

A. Period is greater than the period of rotation of the earth
B.             Period is less than the period of rotation of the earth about its axis
C.             Period has no relation with the period of the earth about its axis
D.               Period is equal to the period of rotation of the earth about its axis
E.             Mass is less than the mass of the earth
Answer» E.             Mass is less than the mass of the earth
4848.

If a satellite is orbiting the earth very close to its surface, then the orbital velocity mainly depends on [NCERT 1982]

A. The mass of the satellite only
B.             The radius of the earth only
C.             The orbital radius only
D.             The mass of the earth only
Answer» C.             The orbital radius only
4849.

The period of a satellite in a circular orbit around a planet is independent of  [NCERT 1974; AIEEE 2004]

A. The mass of the planet
B.             The radius of the planet
C.             The mass of the satellite
D.             All the three parameters
Answer» D.             All the three parameters
4850.

If \[{{v}_{e}}\] and \[{{v}_{o}}\] represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then   [CPMT 1982; MP PMT 1997; KCET (Engg./Med.) 1999; AIIMS 2002]

A.             \[{{v}_{e}}={{v}_{o}}\]
B.             \[\sqrt{2}{{v}_{o}}={{v}_{e}}\]
C.             \[{{v}_{e}}={{v}_{0}}/\sqrt{2}\]
D.             \[{{v}_{e}}\] and \[{{v}_{o}}\] are not related
Answer» C.             \[{{v}_{e}}={{v}_{0}}/\sqrt{2}\]