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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. \[{{v}_{e}}={{v}_{0}}/\sqrt{2}\] | |