JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank

done Motion of Satellite Total Questions - 67

• question_answer1)
  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)
              \[{{v}_{e}}={{v}_{o}}\] done clear
  B)
              \[\sqrt{2}{{v}_{o}}={{v}_{e}}\] done clear
  C)
              \[{{v}_{e}}={{v}_{0}}/\sqrt{2}\] done clear
  D)
              \[{{v}_{e}}\] and \[{{v}_{o}}\] are not related done clear
  View Solution play_arrow

• question_answer2)
  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)
              \[{{v}^{2}}=g\frac{M}{r}\] done clear
  B)
                \[{{v}^{2}}=\frac{GMm}{r}\] done clear
  C)
              \[v=\frac{GM}{r}\] done clear
  D)
                \[{{v}^{2}}=\frac{GM}{r}\] done clear
  View Solution play_arrow

• question_answer3)
  Select the correct statement from the following [MP PMT 1993]
  A)
  The orbital velocity of a satellite increases with the radius of the orbit done clear
  B)
              Escape velocity of a particle from the surface of the earth depends on the speed with which it is fired done clear
  C)
              The time period of a satellite does not depend on the radius of the orbit done clear
  D)
              The orbital velocity is inversely proportional to the square root of the radius of the orbit done clear
  View Solution play_arrow

• question_answer4)
  An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by [NCERT 1983; AIEEE 2004]
  A)
              \[\frac{g{{R}^{2}}}{R+h}\]           done clear
  B)
              Gr done clear
  C)
              \[\frac{gR}{R+h}\]     done clear
  D)
              \[\sqrt{\frac{g{{R}^{2}}}{R+h}}\] done clear
  View Solution play_arrow

• question_answer5)
  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 done clear
  B)
              It suffers no acceleration done clear
  C)
              It is moving with a constant speed done clear
  D)
              Its angular momentum remains constant done clear
  View Solution play_arrow

• question_answer6)
  Two satellites of masses \[{{m}_{1}}\] and \[{{m}_{2}}({{m}_{1}}>{{m}_{2}})\] are revolving round the earth in circular orbits of radius \[{{r}_{1}}\] and \[{{r}_{2}}({{r}_{1}}>{{r}_{2}})\] respectively. Which of the following statements is true regarding their speeds \[{{v}_{1}}\] and \[{{v}_{2}}\] ? [NCERT 1984; MNR 1995; BHU 1998]
  A)
              \[{{v}_{1}}={{v}_{2}}\]     done clear
  B)
              \[{{v}_{1}}<{{v}_{2}}\] done clear
  C)
              \[{{v}_{1}}>{{v}_{2}}\]     done clear
  D)
              \[\frac{{{v}_{1}}}{{{r}_{1}}}=\frac{{{v}_{2}}}{{{r}_{2}}}\] done clear
  View Solution play_arrow

• question_answer7)
  A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is [NCERT 1984; MP PET 1997]
  A)
  4.8 hours done clear
  B)
                \[48\sqrt{2}\] hours done clear
  C)
              24 hours done clear
  D)
                \[24\sqrt{2}\] hours done clear
  View Solution play_arrow

• question_answer8)
  The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above earth atmosphere is                          [NCERT 1975]
  A)
  One     done clear
  B)
              Two done clear
  C)
              Half     done clear
  D)
              Infinity done clear
  View Solution play_arrow

• question_answer9)
  An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will                               [NCERT 1971]
  A)
  Fall vertically down to the earth done clear
  B)
              Move towards the moon done clear
  C)
              Will move along with space-ship done clear
  D)
              Will move in an irregular way then fall down to earth done clear
  View Solution play_arrow

• question_answer10)
  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 done clear
  B)
              The radius of the planet done clear
  C)
              The mass of the satellite done clear
  D)
              All the three parameters done clear
  View Solution play_arrow

• question_answer11)
  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 done clear
  B)
              The radius of the earth only done clear
  C)
              The orbital radius only done clear
  D)
              The mass of the earth only done clear
  View Solution play_arrow

• question_answer12)
  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 done clear
  B)
              Period is less than the period of rotation of the earth about its axis done clear
  C)
              Period has no relation with the period of the earth about its axis done clear
  D)
                Period is equal to the period of rotation of the earth about its axis done clear
  E)
              Mass is less than the mass of the earth done clear
  View Solution play_arrow

• question_answer13)
  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     done clear
  B)
              6 V done clear
  C)
              \[\frac{4}{3}V\]          done clear
  D)
              \[\frac{3}{2}V\] done clear
  View Solution play_arrow

• question_answer14)
  A geostationary satellite                                   [CPMT 1990]
  A)
  Revolves about the polar axis done clear
  B)
              Has a time period less than that of the near earth satellite done clear
  C)
              Moves faster than a near earth satellite done clear
  D)
              Is stationary in the space done clear
  View Solution play_arrow

• question_answer15)
  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 done clear
  B)
                11.2 km/sec done clear
  C)
              4 km/sec done clear
  D)
                6 km/sec done clear
  View Solution play_arrow

• question_answer16)
  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 done clear
  B)
              Is greatest when it is closest to the earth done clear
  C)
              Is greatest when it is farthest from the earth done clear
  D)
              Goes on increasing or decreasing continuously depending upon the mass of the satellite done clear
  View Solution play_arrow

• question_answer17)
  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)
              \[\frac{3}{2}v\]           done clear
  B)
              \[\sqrt{\frac{3}{2}}\,v\] done clear
  C)
              \[\sqrt{\frac{2}{3}}\,v\]          done clear
  D)
              \[\frac{2}{3}\,v\] done clear
  View Solution play_arrow

• question_answer18)
  In a satellite if the time of revolution is T, then K.E. is proportional to                     [BHU 1995]
  A)
              \[\frac{1}{T}\] done clear
  B)
              \[\frac{1}{{{T}^{2}}}\] done clear
  C)
              \[\frac{1}{{{T}^{3}}}\]       done clear
  D)
              \[{{T}^{-2/3}}\] done clear
  View Solution play_arrow

• question_answer19)
  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        done clear
  B)
              gR/2 done clear
  C)
              \[\sqrt{g/R}\]    done clear
  D)
              \[\sqrt{gR}\] done clear
  View Solution play_arrow

• question_answer20)
  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 done clear
  B)
              Mass of the satellite, mass of the earth and the gravitational constant done clear
  C)
              Mass of the earth, mass of the satellite, time period of the satellite and the gravitational constant done clear
  D)
              Mass of the earth, time period of the satellite and the gravitational constant done clear
  View Solution play_arrow

• question_answer21)
  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 done clear
  B)
              Geostationary satellites are launched in the equatorial plane done clear
  C)
              We can use just one geostationary satellite for global communication around the globe done clear
  D)
              The speed of a satellite increases with an increase in the radius of its orbit done clear
  View Solution play_arrow

• question_answer22)
  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% done clear
  B)
                Increase by 0.5% done clear
  C)
              Decrease by 1%           done clear
  D)
              Decrease by 0.5% done clear
  View Solution play_arrow

• question_answer23)
  Orbital velocity of an artificial satellite does not depend upon                    [MP PMT 1996]
  A)
  Mass of the earth         done clear
  B)
              Mass of the satellite done clear
  C)
              Radius of the earth      done clear
  D)
              Acceleration due to gravity done clear
  View Solution play_arrow

• question_answer24)
  The time period of a geostationary satellite is [EAMCET 1994; MP PMT 1999]
  A)
  24 hours done clear
  B)
                12 hours done clear
  C)
              365 days done clear
  D)
                One month done clear
  View Solution play_arrow

• question_answer25)
  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 done clear
  B)
                7 km/s done clear
  C)
              72 km/s            done clear
  D)
              14 km/s done clear
  View Solution play_arrow

• question_answer26)
  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 done clear
  B)
              Ratio of kinetic energies will be 4 done clear
  C)
              Ratio of potential energies will be 4 done clear
  D)
              Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2 done clear
  View Solution play_arrow

• question_answer27)
  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 done clear
  B)
                \[11\sqrt{3}\] km/s done clear
  C)
              \[\frac{11}{\sqrt{3}}\] km/s done clear
  D)
                            33 km/s done clear
  View Solution play_arrow

• question_answer28)
  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)
              \[{{R}^{2}}g/\omega \] done clear
  B)
                \[{{R}^{2}}{{\omega }^{2}}/g\] done clear
  C)
              \[Rg/{{\omega }^{2}}\]        done clear
  D)
              \[{{R}^{2}}g/{{\omega }^{2}}\] done clear
  View Solution play_arrow

• question_answer29)
  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 done clear
  B)
              A minimum velocity of 8 km/sec is required by a satellite to orbit quite close to the earth done clear
  C)
              The period of revolution is large if the radius of its orbit is large done clear
  D)
              The height of a geostationary satellite is about 36000 km from earth done clear
  View Solution play_arrow

• question_answer30)
  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 done clear
  B)
              It will move with the same speed tangentially to the spacecraft done clear
  C)
              It will fall down to the earth gradually done clear
  D)
              It will go very far in the space done clear
  View Solution play_arrow

• question_answer31)
  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)
              \[T\propto \frac{{{r}^{5}}}{GM}\] done clear
  B)
                \[T\propto \sqrt{\frac{{{r}^{3}}}{GM}}\] done clear
  C)
              \[T\propto \sqrt{\frac{r}{G{{M}^{2}}/3}}\] done clear
  D)
                \[T\propto \sqrt{\frac{{{r}^{3}}}{G{{M}^{1}}/4}}\] done clear
  View Solution play_arrow

• question_answer32)
  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          done clear
  B)
              4800 km done clear
  C)
              32000 km done clear
  D)
                36000 km done clear
  View Solution play_arrow

• question_answer33)
  The weight of an astronaut, in an artificial satellite revolving around the earth, is                   [BHU 1999]
  A)
  Zero done clear
  B)
              Equal to that on the earth done clear
  C)
              More than that on the earth done clear
  D)
              Less than that on the earth done clear
  View Solution play_arrow

• question_answer34)
  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)
              \[{{T}_{st}}>{{T}_{ma}}\] done clear
  B)
                \[{{T}_{ma}}>{{T}_{st}}\] done clear
  C)
              \[{{T}_{sp}}<{{T}_{is}}\] done clear
  D)
                \[{{T}_{st}}={{T}_{ma}}={{T}_{sp}}={{T}_{is}}\] done clear
  View Solution play_arrow

• question_answer35)
  The periodic time of a communication satellite is [MP PMT 2000]
  A)
  6 hours done clear
  B)
              12 hours done clear
  C)
              18 hours done clear
  D)
                24 hours done clear
  View Solution play_arrow

• question_answer36)
  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)
              \[4\,{{V}_{o}}\]         done clear
  B)
              \[2\,{{V}_{o}}\] done clear
  C)
              \[0.5\,{{V}_{o}}\]      done clear
  D)
              \[4\,{{V}_{o}}\] done clear
  View Solution play_arrow

• question_answer37)
  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 done clear
  B)
              It moves in a plane perpendicular to the celestial equatorial plane done clear
  C)
              Its height above the earth?s surface is about the same as the radius of the earth done clear
  D)
              Its height above the earth?s surface is about six times the radius of the earth done clear
  View Solution play_arrow

• question_answer38)
  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       done clear
  B)
              7 R done clear
  C)
              10 R     done clear
  D)
              18 R done clear
  View Solution play_arrow

• question_answer39)
  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 done clear
  B)
                Orbiting radius done clear
  C)
              Tangential velocity       done clear
  D)
              Angular velocity done clear
  View Solution play_arrow

• question_answer40)
  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)
              \[2\pi \sqrt{\frac{2R}{g}}\] done clear
  B)
                \[4\sqrt{2}\pi \sqrt{\frac{R}{g}}\] done clear
  C)
              \[2\pi \sqrt{\frac{R}{g}}\] done clear
  D)
                \[8\pi \sqrt{\frac{R}{g}}\] done clear
  View Solution play_arrow

• question_answer41)
  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)
               \[{{\left( \frac{4{{\pi }^{2}}GM}{{{T}^{2}}} \right)}^{1/3}}\] done clear
  B)
                \[{{\left( \frac{4\pi GM}{{{R}^{2}}} \right)}^{1/3}}-R\] done clear
  C)
              \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}-R\] done clear
  D)
              \[{{\left( \frac{GM{{T}^{2}}}{4{{\pi }^{2}}} \right)}^{1/3}}+R\] done clear
  View Solution play_arrow

• question_answer42)
  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    done clear
  B)
              \[(6/\sqrt{2})\,hr\] done clear
  C)
              6 hr      done clear
  D)
              \[6\sqrt{2}\,hr\] done clear
  View Solution play_arrow

• question_answer43)
  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 done clear
  B)
                4 km/sec done clear
  C)
              8 km/sec done clear
  D)
                11.2 km/sec done clear
  View Solution play_arrow

• question_answer44)
  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       done clear
  B)
              1.0 done clear
  C)
              1.5       done clear
  D)
              3 done clear
  View Solution play_arrow

• question_answer45)
   Where can a geostationary satellite be installed                      [MP PMT 2004]
  A)
  Over any city on the equator done clear
  B)
              Over the north or South Pole done clear
  C)
              At height R above earth done clear
  D)
              At the surface of earth done clear
  View Solution play_arrow

• question_answer46)
  Distance of geostationary satellite from the surface of earth \[radius\,\,({{R}_{e}}=6400\,\,km)\] in terms of \[{{R}_{e}}\]is           [Pb. PET 2000]
  A)
              \[13.76\,\,{{R}_{e}}\] done clear
  B)
                \[10.76\,\,{{R}_{e}}\] done clear
  C)
              \[6.56\,\,{{R}_{e}}\] done clear
  D)
                \[2.56\,\,{{R}_{e}}\] done clear
  View Solution play_arrow

• question_answer47)
   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)
              \[3\,\,km/s\]      done clear
  B)
              \[16\,\,km/s\] done clear
  C)
              \[7.15\,\,km/s\] done clear
  D)
                \[8\,\,km/s\] done clear
  View Solution play_arrow

• question_answer48)
   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     done clear
  B)
              3 : 1 done clear
  C)
              3 : 4     done clear
  D)
              12 : 1 done clear
  View Solution play_arrow

• question_answer49)
   The orbital velocity of a planet revolving close to earth's surface is                       [RPMT 2002, 03]
  A)
              \[\sqrt{2\,gR}\] done clear
  B)
              \[\sqrt{gR}\] done clear
  C)
              \[\sqrt{\frac{2g}{R}}\]            done clear
  D)
              \[\sqrt{\frac{g}{R}}\] done clear
  View Solution play_arrow

• question_answer50)
  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)
              \[1/{{R}^{2}}\]        done clear
  B)
              \[{{R}^{0}}\] done clear
  C)
              \[{{R}^{1}}\]           done clear
  D)
              1/R done clear
  View Solution play_arrow

• question_answer51)
  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)
              \[-\frac{1}{2}M{{v}^{2}}\] done clear
  B)
                \[\frac{1}{2}M{{v}^{2}}\] done clear
  C)
              \[\frac{3}{2}M{{v}^{2}}\]  done clear
  D)
              \[M{{v}^{2}}\] done clear
  View Solution play_arrow

• question_answer52)
  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)
              \[{{E}_{k}}\] done clear
  B)
              2\[{{E}_{k}}\] done clear
  C)
              \[\frac{1}{2}{{E}_{k}}\]       done clear
  D)
              3\[{{E}_{k}}\] done clear
  View Solution play_arrow

• question_answer53)
  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)
              \[-0.5\,mg{{R}_{e}}\] done clear
  B)
              \[-mg{{R}_{e}}\] done clear
  C)
              \[-2\,mg{{R}_{e}}\] done clear
  D)
                \[4\,mg{{R}_{e}}\] done clear
  View Solution play_arrow

• question_answer54)
  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 done clear
  B)
              r and v both will decrease done clear
  C)
              r will decrease and v will increase done clear
  D)
              r will decrease and v will decrease done clear
  View Solution play_arrow

• question_answer55)
  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  done clear
  B)
              8 days done clear
  C)
              16 days done clear
  D)
                32 days done clear
  View Solution play_arrow

• question_answer56)
  Which is constant for a satellite in orbit [Bihar CMEET 1995]
  A)
  Velocity done clear
  B)
                Angular momentum done clear
  C)
              Potential energy           done clear
  D)
              Acceleration done clear
  E)
              Kinetic energy done clear
  View Solution play_arrow

• question_answer57)
  If satellite is shifted towards the earth. Then time period of satellite will be                  [RPMT 2000]
  A)
  Increase done clear
  B)
                Decrease done clear
  C)
              Unchanged done clear
  D)
                Nothing can be said done clear
  View Solution play_arrow

• question_answer58)
  Which of the following quantities does not depend upon the orbital radius of the satellite                               [DCE 2000,03]
  A)
              \[\frac{T}{R}\]            done clear
  B)
              \[\frac{{{T}^{2}}}{R}\] done clear
  C)
              \[\frac{{{T}^{2}}}{{{R}^{2}}}\] done clear
  D)
              \[\frac{{{T}^{2}}}{{{R}^{3}}}\] done clear
  View Solution play_arrow

• question_answer59)
  The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to four times the previous value, the new time period will become                       [AIIMS 1995; AIEEE 2003]
  A)
  20 hours done clear
  B)
                10 hours done clear
  C)
              80 hours done clear
  D)
                40 hours done clear
  View Solution play_arrow

• question_answer60)
   A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is [UPSEAT 2004]
  A)
  8 R       done clear
  B)
              4R done clear
  C)
              2R        done clear
  D)
              R done clear
  View Solution play_arrow

• question_answer61)
  A person sitting in a chair in a satellite feels weightless because                           [UPSEAT 2004]
  A)
  The earth does not attract the objects in a satellite done clear
  B)
              The normal force by the chair on the person balances the earth's attraction done clear
  C)
              The normal force is zero done clear
  D)
              The person in satellite is not accelerated done clear
  View Solution play_arrow

• question_answer62)
  Two satellites A and B go round a planet in circular orbits having radii 4R and R, respectively. If the speed of satellite A is 3v, then speed of satellite B is                   [Pb. PET 2004]
  A)
              \[\frac{3v}{2}\]           done clear
  B)
              \[\frac{4v}{2}\] done clear
  C)
              \[6v\]    done clear
  D)
              \[12v\] done clear
  View Solution play_arrow

• question_answer63)
   If \[g\propto \frac{1}{{{R}^{3}}}\] (instead of \[\frac{1}{{{R}^{2}}}),\] then the relation between time period of a satellite near earth's surface and radius R will be                      [RPMT 2002]
  A)
              \[{{T}^{2}}\propto {{R}^{3}}\] done clear
  B)
                \[T\propto {{R}^{2}}\] done clear
  C)
              \[{{T}^{2}}\propto R\] done clear
  D)
                \[T\propto R\] done clear
  View Solution play_arrow

• question_answer64)
  To an astronaut in a spaceship, the sky appears [KCET 1994]
  A)
  Black   done clear
  B)
              White done clear
  C)
              Green  done clear
  D)
              Blue done clear
  View Solution play_arrow

• question_answer65)
  A geostationary satellite is revolving around the earth. To make it escape from gravitational field of earth, is velocity must be increased                          [J&K CET 2005]
  A)
  100%   done clear
  B)
              41.4% done clear
  C)
              50%     done clear
  D)
              59.6% done clear
  View Solution play_arrow

• question_answer66)
  A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon?s orbit. The satellite completes one revolution in [J&K CET 2005]
  A)
              \[\frac{1}{2}\] lunar month     done clear
  B)
              \[\frac{2}{3}\] lunar month done clear
  C)
              \[{{2}^{-3/2}}\] lunar month            done clear
  D)
              \[{{2}^{3/2}}\] lunar month done clear
  View Solution play_arrow

• question_answer67)
  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 [J&K CET 2005]
  A)
              \[-\frac{GMm}{r}\] done clear
  B)
                \[\frac{GMm}{r}\] done clear
  C)
              \[\frac{GMm}{2r}\]    done clear
  D)
              \[-\frac{GMm}{2r}\] done clear
  View Solution play_arrow