JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank

done Acceleration Due to Gravity Total Questions - 87

• question_answer1)
  Weightlessness experienced while orbiting the earth in space-ship, is the result of    [NCERT 1978; DPMT 1982]
  A)
  Inertia done clear
  B)
                Acceleration done clear
  C)
              Zero gravity      done clear
  D)
              Free fall towards earth done clear
  View Solution play_arrow

• question_answer2)
  If the change in the value of ?g? at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)                [NCERT 1983; BHU 2002]
  A)
              \[x=h\] done clear
  B)
              \[x=2h\] done clear
  C)
              \[x=\frac{h}{2}\]        done clear
  D)
              \[x={{h}^{2}}\] done clear
  View Solution play_arrow

• question_answer3)
  The time period of a simple pendulum on a freely moving artificial satellite is [CPMT 1984; AFMC 2002]
  A)
  Zero     done clear
  B)
              2 sec done clear
  C)
              3 sec    done clear
  D)
              Infinite done clear
  View Solution play_arrow

• question_answer4)
  Two planets have the same average density but their radii are \[{{R}_{1}}\] and \[{{R}_{2}}\]. If acceleration due to gravity on these planets be \[{{g}_{1}}\] and \[{{g}_{2}}\] respectively, then           [AIIMS 1985]
  A)
              \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]          done clear
  B)
              \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\] done clear
  C)
              \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{R_{1}^{2}}{R_{2}^{2}}\]      done clear
  D)
              \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{R_{1}^{3}}{R_{2}^{3}}\] done clear
  View Solution play_arrow

• question_answer5)
  An iron ball and a wooden ball of the same radius are released from a height ?h? in vacuum. The time taken by both of them to reach the ground is [NCERT 1975; AFMC 1998]
  A)
  Unequal done clear
  B)
                Exactly equal done clear
  C)
              Roughly equal done clear
  D)
                Zero done clear
  View Solution play_arrow

• question_answer6)
  The correct answer to above question is based on                   [NCERT 1975]
  A)
  Acceleration due to gravity in vacuum is same irrespective of size and mass of the body done clear
  B)
              Acceleration due to gravity in vacuum depends on the mass of the body done clear
  C)
              There is no acceleration due to gravity in vacuum done clear
  D)
              In vacuum there is resistance offered to the motion of the body and this resistance depends on the mass of the body done clear
  View Solution play_arrow

• question_answer7)
  When a body is taken from the equator to the poles, its weight                            [EAMCET 1978]
  A)
  Remains constant        done clear
  B)
              Increases done clear
  C)
              Decreases done clear
  D)
                Increases at N-pole and decreases at S-pole done clear
  View Solution play_arrow

• question_answer8)
  A body of mass m is taken to the bottom of a deep mine. Then                            [NCERT 1982]
  A)
  Its mass increases        done clear
  B)
              Its mass decreases done clear
  C)
              Its weight increases      done clear
  D)
              Its weight decreases done clear
  View Solution play_arrow

• question_answer9)
  A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass is \[\frac{1}{7}\] and radius is half that of the earth [CMC Vellore 1984; AFMC 2000]
  A)
  200 gm wt done clear
  B)
                400 gm wt done clear
  C)
              50 gm wt         done clear
  D)
              300 gm wt done clear
  View Solution play_arrow

• question_answer10)
  In order to find time, the astronaut orbiting in an earth satellite should use                  [DPMT 1982]
  A)
  A pendulum clock done clear
  B)
              A watch having main spring to keep it going done clear
  C)
              Either a pendulum clock or a watch done clear
  D)
              Neither a pendulum clock nor a watch done clear
  View Solution play_arrow

• question_answer11)
  A spherical planet far out in space has a mass \[{{M}_{0}}\] and diameter \[{{D}_{0}}\]. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to    [MP PMT 1987; DPMT 2002]
  A)
              \[G{{M}_{0}}/D_{0}^{2}\] done clear
  B)
                \[4mG{{M}_{0}}/D_{0}^{2}\] done clear
  C)
              \[4G{{M}_{0}}/D_{0}^{2}\] done clear
  D)
                 \[Gm{{M}_{0}}/D_{0}^{2}\] done clear
  View Solution play_arrow

• question_answer12)
  If the earth stops rotating, the value of ?g? at the equator will                [CPMT 1986]
  A)
  Increase done clear
  B)
                Remain same done clear
  C)
              Decrease          done clear
  D)
              None of the above done clear
  View Solution play_arrow

• question_answer13)
  The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is                [NCERT 1971; Pb. PMT 2000]
  A)
              \[9.8\,m/{{\sec }^{2}}\] done clear
  B)
                \[4.9\,m/{{\sec }^{2}}\] done clear
  C)
              \[980\,m/{{\sec }^{2}}\]       done clear
  D)
              \[19.6\,m/{{\sec }^{2}}\] done clear
  View Solution play_arrow

• question_answer14)
  As we go from the equator to the poles, the value of g [CPMT 1975; AFMC 1995; AFMC 2004]
  A)
  Remains the same       done clear
  B)
              Decreases done clear
  C)
              Increases          done clear
  D)
              Decreases upto a latitude of \[45{}^\circ \] done clear
  View Solution play_arrow

• question_answer15)
  Force of gravity is least at                                [CPMT 1992]
  A)
  The equator done clear
  B)
              The poles done clear
  C)
              A point in between equator and any pole done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer16)
  The radius of the earth is 6400 km and \[g=10m/{{\sec }^{2}}\]. In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is                              [MP PMT 1985]
  A)
  1/80 radian/sec done clear
  B)
              1/400 radian/sec done clear
  C)
              1/800 radian/sec          done clear
  D)
              1/1600 radian/sec done clear
  View Solution play_arrow

• question_answer17)
  The value of ?g? at a particular point is \[9.8\,m/{{s}^{2}}\]. Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of ?g? at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be [NCERT 1984; DPMT 1999]
  A)
              \[4.9\,m/{{\sec }^{2}}\] done clear
  B)
                \[3.1\,m/{{\sec }^{2}}\] done clear
  C)
              \[9.8\,m/{{\sec }^{2}}\] done clear
  D)
                \[19.6\,m/{{\sec }^{2}}\] done clear
  View Solution play_arrow

• question_answer18)
  If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is             [CPMT 1990; BHU 1998; Kerala PMT 2002; MH CET (Med.) 1999; CBSE PMT 1995]
  A)
              \[4\pi G/3gR\] done clear
  B)
                \[3\pi R/4gG\] done clear
  C)
              \[3g/4\pi RG\] done clear
  D)
              \[\pi RG/12G\] done clear
  View Solution play_arrow

• question_answer19)
  The weight of an object in the coal mine, sea level, at the top of the mountain are \[{{W}_{1}},\ {{W}_{2}}\] and \[{{W}_{3}}\]  respectively, then            [EAMCET 1990]
  A)
              \[{{W}_{1}}<{{W}_{2}}>{{W}_{3}}\] done clear
  B)
                \[{{W}_{1}}={{W}_{2}}={{W}_{3}}\] done clear
  C)
              \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\]   done clear
  D)
              \[{{W}_{1}}>{{W}_{2}}>{{W}_{3}}\] done clear
  View Solution play_arrow

• question_answer20)
   The radii of two planets are respectively \[{{R}_{1}}\] and \[{{R}_{2}}\] and their densities are respectively \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\]. The ratio of the accelerations due to gravity at their surfaces is [MP PET 1994]
  A)
              \[{{g}_{1}}:{{g}_{2}}=\frac{{{\rho }_{1}}}{R_{1}^{2}}:\frac{{{\rho }_{2}}}{R_{2}^{2}}\]            done clear
  B)
              \[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{R}_{2}}:{{\rho }_{1}}{{\rho }_{2}}\] done clear
  C)
              \[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{2}}:{{R}_{2}}{{\rho }_{1}}\]   done clear
  D)
              \[{{g}_{1}}:{{g}_{2}}={{R}_{1}}{{\rho }_{1}}:{{R}_{2}}{{\rho }_{2}}\] done clear
  View Solution play_arrow

• question_answer21)
  The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the acceleration due to gravity at the surface of the moon to that at the surface of the earth is            [MP PMT 1994]
  A)
  0.15     done clear
  B)
              0.04 done clear
  C)
              1          done clear
  D)
              6 done clear
  View Solution play_arrow

• question_answer22)
  Spot the wrong statement: The acceleration due to gravity ?g? decreases if [MP PMT 1994]
  A)
  We go down from the surface of the earth towards its centre done clear
  B)
              We go up from the surface of the earth done clear
  C)
              We go from the equator towards the poles on the surface of the earth done clear
  D)
              The rotational velocity of the earth is increased done clear
  View Solution play_arrow

• question_answer23)
  Which of the following statements is true [Manipal MEE 1995]
  A)
  g is less at the earth's surface than at a height above it or a depth below it done clear
  B)
              g is same at all places on the surface of the earth done clear
  C)
              g has its maximum value at the equator done clear
  D)
              g is greater at the poles than at the equator done clear
  View Solution play_arrow

• question_answer24)
  A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth's surface, the weight indicated by the balance                                 [MP PET 1995]     
  A)
  Will go on increasing continuously done clear
  B)
              Will go on decreasing continuously done clear
  C)
              Will remain same done clear
  D)
              Will first increase and then decrease done clear
  View Solution play_arrow

• question_answer25)
  The value of g on the earth's surface is \[980\,cm/{{\sec }^{2}}\]. Its value at a height of 64 km from the earth's surface is [MP PMT 1995]
  A)
              \[960.40\,cm/{{\sec }^{2}}\] done clear
  B)
                \[984.90\,cm/{{\sec }^{2}}\] done clear
  C)
              \[982.45\,cm/{{\sec }^{2}}\]            done clear
  D)
              \[977.55\,cm/{{\sec }^{2}}\] done clear
  View Solution play_arrow

• question_answer26)
  (Radius of the earth R = 6400 kilometers) Choose the correct statement from the following : Weightlessness of an astronaut moving in a satellite is a situation of            [MP PMT 1995]
  A)
  Zero g done clear
  B)
                No gravity done clear
  C)
              Zero mass done clear
  D)
                Free fall done clear
  View Solution play_arrow

• question_answer27)
  If the earth rotates faster than its present speed, the weight of an object will                [Haryana CEE 1996]
  A)
  Increase at the equator but remain unchanged at the poles done clear
  B)
              Decrease at the equator but remain unchanged at the poles done clear
  C)
              Remain unchanged at the equator but decrease at the poles done clear
  D)
              Remain unchanged at the equator but increase at the poles done clear
  View Solution play_arrow

• question_answer28)
  If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be [MNR 1998]
  A)
  g/2 done clear
  B)
                4g done clear
  C)
              g/4       done clear
  D)
              2g done clear
  View Solution play_arrow

• question_answer29)
  The moon's radius is 1/4 that of the earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of the earth, that on the surface of the moon is                     [MP PMT 1997; MP PET 2000, 01; RPET 2000; Pb. PET 2001]
  A)
  g/4       done clear
  B)
              g/5 done clear
  C)
              g/6       done clear
  D)
              g/8 done clear
  View Solution play_arrow

• question_answer30)
  R is the radius of the earth and \[\omega \] is its angular velocity and \[{{g}_{p}}\] is the value of g at the poles. The effective value of g at the latitude \[\lambda =60{}^\circ \] will be equal to      [MP PMT 1999]
  A)
              \[{{g}_{p}}-\frac{1}{4}R{{\omega }^{2}}\] done clear
  B)
                \[{{g}_{p}}-\frac{3}{4}R{{\omega }^{2}}\] done clear
  C)
              \[{{g}_{p}}-R{{\omega }^{2}}\] done clear
  D)
                \[{{g}_{p}}+\frac{1}{4}R{{\omega }^{2}}\] done clear
  View Solution play_arrow

• question_answer31)
  The depth d at which the value of acceleration due to gravity becomes \[\frac{1}{n}\] times the value at the surface, is [R = radius of the earth]      [MP PMT 1999; Kerala PMT 2005]
  A)
              \[\frac{R}{n}\]            done clear
  B)
              \[R\,\left( \frac{n-1}{n} \right)\] done clear
  C)
              \[\frac{R}{{{n}^{2}}}\]      done clear
  D)
              \[R\,\left( \frac{n}{n+1} \right)\] done clear
  View Solution play_arrow

• question_answer32)
  At what height over the earth's pole, the free fall acceleration decreases by one percent (assume the radius of earth to be 6400 km)                                    [KCET 1994]
  A)
  32 km done clear
  B)
                80 km done clear
  C)
              1.253 km done clear
  D)
                64 km done clear
  View Solution play_arrow

• question_answer33)
  The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in ratio                            [ISM Dhanbad 1994]
  A)
  1 : 2     done clear
  B)
              2 : 3 done clear
  C)
              2 : 1     done clear
  D)
              4 : 1 done clear
  View Solution play_arrow

• question_answer34)
  At what altitude in metre will the acceleration due to gravity be 25% of that at the earth's surface (Radius of earth = R metre)                              [ISM Dhanbad 1994]
  A)
              \[\frac{1}{4}R\]          done clear
  B)
              R done clear
  C)
              \[\frac{3}{8}R\]          done clear
  D)
              \[\frac{R}{2}\] done clear
  View Solution play_arrow

• question_answer35)
  If the angular speed of the earth is doubled, the value of acceleration due to gravity (g) at the north pole [EAMCET (Med.) 1995]
  A)
  Doubles done clear
  B)
                Becomes half done clear
  C)
              Remains same done clear
  D)
              Becomes zero done clear
  View Solution play_arrow

• question_answer36)
  At the surface of a certain planet, acceleration due to gravity is one-quarter of that on earth. If a brass ball is transported to this planet, then which one of the following statements is not correct             [SCRA 1994]
  A)
  The mass of the brass ball on this planet is a quarter of its mass as measured on earth done clear
  B)
              The weight of the brass ball on this planet is a quarter of the weight as measured on earth done clear
  C)
              The brass ball has the same mass on the other planet as on earth done clear
  D)
              The brass ball has the same volume on the other planet as on earth done clear
  View Solution play_arrow

• question_answer37)
  Weight of 1 kg becomes 1/6 on moon. If radius of moon is \[1.768\times {{10}^{6}}\,m\], then the mass of moon will be  [RPET 1997]
  A)
              \[1.99\times {{10}^{30}}\,kg\] done clear
  B)
                \[7.56\times {{10}^{22}}\,kg\] done clear
  C)
              \[5.98\times {{10}^{24}}\,kg\] done clear
  D)
                \[7.65\times {{10}^{22}}\,kg\] done clear
  View Solution play_arrow

• question_answer38)
  Radius of earth is around 6000 km. The weight of body at height of 6000 km from earth surface becomes [RPMT 1997]
  A)
  Half     done clear
  B)
              One-fourth done clear
  C)
              One third         done clear
  D)
              No change done clear
  View Solution play_arrow

• question_answer39)
  Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then [BHU 1994; JIPMER 2000]
  A)
  g decreases by 2% and K decreases by 4% done clear
  B)
              g decreases by 4% and K increases by 2% done clear
  C)
              g increases by 4% and K increases by 4% done clear
  D)
              g decreases by 4% and K increases by 4% done clear
  View Solution play_arrow

• question_answer40)
  Where will it be profitable to purchase 1 kilogram sugar [RPET 1996]
  A)
  At poles            done clear
  B)
              At equator done clear
  C)
              At \[45{}^\circ \] latitude       done clear
  D)
                At \[40{}^\circ \] latitude done clear
  View Solution play_arrow

• question_answer41)
  If the radius of the earth shrinks by 1.5% (mass remaining same), then the value of acceleration due to gravity changes by                                  [BHU 1997]
  A)
  1%       done clear
  B)
              2% done clear
  C)
              3%       done clear
  D)
              4% done clear
  View Solution play_arrow

• question_answer42)
  If radius of the earth contracts 2% and its mass remains the same, then weight of the body at the earth surface [CPMT 1997; KCET (Engg./Med.) 2001]
  A)
  Will decrease done clear
  B)
                Will increase done clear
  C)
              Will remain the same   done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer43)
  If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is [AIIMS 1997; RPMT 1997;  JIPMER 2000]
  A)
  M/6      done clear
  B)
              Zero done clear
  C)
              M         done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer44)
  Mass of moon is \[7.34\times {{10}^{22}}\]kg. If the acceleration due to gravity on the moon is \[1.4\,m/{{s}^{2}}\], the radius of the moon is             \[(G=6.667\times {{10}^{-11}}\,N{{m}^{2}}/k{{g}^{2}})\]            [AFMC 1998]
  A)
              \[0.56\times {{10}^{4}}\,m\] done clear
  B)
                \[1.87\times {{10}^{6}}\,m\] done clear
  C)
              \[1.92\times {{10}^{6}}\,m\] done clear
  D)
                \[1.01\times {{10}^{8}}\,m\] done clear
  View Solution play_arrow

• question_answer45)
  What should be the velocity of earth due to rotation about its own axis so that the weight at equator become 3/5 of initial value. Radius of earth on equator is 6400 km [AMU 1999]
  A)
              \[7.4\times {{10}^{-4}}\,rad/\sec \] done clear
  B)
                \[6.7\times {{10}^{-4}}\,rad/\sec \] done clear
  C)
              \[7.8\times {{10}^{-4}}\,rad/\sec \] done clear
  D)
                \[8.7\times {{10}^{-4}}\,rad/\sec \] done clear
  View Solution play_arrow

• question_answer46)
  Acceleration due to gravity is ?g? on the surface of the earth. The value of acceleration due to gravity at a height of 32 km above earth?s surface is (Radius of the earth = 6400 km)  [KCET (Engg./Med.) 1999]
  A)
  0.9 g    done clear
  B)
              0.99 g done clear
  C)
              0.8 g    done clear
  D)
              1.01 g done clear
  View Solution play_arrow

• question_answer47)
  At what height from the ground will the value of ?g? be the same as that in 10 km deep mine below the surface of earth                [RPET 1999]
  A)
  20 km done clear
  B)
                10 km done clear
  C)
              15 km  done clear
  D)
              5 km done clear
  View Solution play_arrow

• question_answer48)
  If the Earth losses its gravity, then for a body [BHU 1999; MHCET 2003]
  A)
  Weight becomes zero, but not the mass done clear
  B)
              Mass becomes zero, but not the weight done clear
  C)
              Both mass and weight become zero done clear
  D)
              Neither mass nor weight become zero done clear
  View Solution play_arrow

• question_answer49)
  The height of the point vertically above the earth?s surface, at which acceleration due to gravity becomes 1% of its value at the surface is (Radius of the earth = R) [EAMCET (Engg.) 2000]
  A)
  8 R       done clear
  B)
              9 R done clear
  C)
              10 R     done clear
  D)
              20 R done clear
  View Solution play_arrow

• question_answer50)
  An object weights 72 N on earth. Its weight at a height of R/2 from earth is                       [AIIMS 2000]
  A)
  32 N    done clear
  B)
              56 N done clear
  C)
              72 N    done clear
  D)
              Zero done clear
  View Solution play_arrow

• question_answer51)
  The angular velocity of the earth with which it has to rotate so that acceleration due to gravity on 60o latitude becomes zero is (Radius of earth = 6400 km. At the poles \[g=10\,m{{s}^{-2}})\] [EAMCET 2000]
  A)
              \[2.5\times {{10}^{-3}}rad/s\] done clear
  B)
                \[5.0\times {{10}^{-1}}rad/s\] done clear
  C)
              \[10\times {{10}^{1}}rad/s\]            done clear
  D)
              \[7.8\times {{10}^{-2}}rad/s\] done clear
  View Solution play_arrow

• question_answer52)
  Assuming earth to be a sphere of a uniform density, what is the value of gravitational acceleration in a mine 100 km below the earth?s surface (Given R = 6400 km) [AFMC 2000; Pb. PMT 2000]
  A)
              \[9.66\,m/{{s}^{2}}\] done clear
  B)
                \[7.64\,m/{{s}^{2}}\] done clear
  C)
              \[5.06m/{{s}^{2}}\] done clear
  D)
                \[3.10\,m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer53)
  If radius of earth is R then the height ?h? at which value of ?g? becomes one-fourth is              [BHU 2000]
  A)
              \[\frac{R}{4}\]            done clear
  B)
              \[\frac{3R}{4}\] done clear
  C)
              R          done clear
  D)
              \[\frac{R}{8}\] done clear
  View Solution play_arrow

• question_answer54)
  R and r are the radii of the earth and moon respectively. \[{{\rho }_{e}}\] and \[{{\rho }_{m}}\] are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is [EAMCET 2000]
  A)
  \[\frac{R}{r}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\] done clear
  B)
    \[\frac{r}{R}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\] done clear
  C)
              \[\frac{r}{R}\frac{{{\rho }_{m}}}{{{\rho }_{e}}}\]           done clear
  D)
              \[\frac{R}{r}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\] done clear
  View Solution play_arrow

• question_answer55)
  If the mass of earth is 80 times of that of a planet and diameter is double that of planet and ?g? on earth is \[9.8\,m/{{s}^{2}}\], then the value of ?g? on that planet is [Pb. PMT 1999; CPMT 2000]
  A)
              \[4.9\,m/{{s}^{2}}\] done clear
  B)
                \[0.98\,m/{{s}^{2}}\] done clear
  C)
              \[0.49\,m/{{s}^{2}}\] done clear
  D)
                \[49\,m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer56)
  Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If \[{{R}_{e}}\] is the maximum range of a projectile on the earth?s surface, what is the maximum range on the surface of the moon for the same velocity of projection   [Kerala (Engg.) 2001]
  A)
              \[0.2\,{{R}_{e}}\]      done clear
  B)
              \[2\,{{R}_{e}}\] done clear
  C)
              \[0.5\,{{R}_{e}}\]      done clear
  D)
              \[5\,{{R}_{e}}\] done clear
  View Solution play_arrow

• question_answer57)
  The angular speed of earth, so that the object on equator may appear weightless, is \[(g=10\,m/{{s}^{2}}\], radius of earth 6400 km)                                    [Pb. PMT 2001]
  A)
              \[1.25\times {{10}^{-3}}rad/sec\] done clear
  B)
                \[1.56\times {{10}^{-3}}rad/sec\] done clear
  C)
              \[1.25\times {{10}^{-1}}rad/sec\]    done clear
  D)
              1.56 rad/sec done clear
  View Solution play_arrow

• question_answer58)
  At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface (R = radius of earth)                     [MP PMT 2001]
  A)
  2 R       done clear
  B)
              R done clear
  C)
              1.414 R done clear
  D)
                0.414 R done clear
  View Solution play_arrow

• question_answer59)
  If density of earth increased 4 times and its radius become half of what it is, our weight will [AMU (Engg.) 2001]
  A)
  Be four times its present value done clear
  B)
              Be doubled done clear
  C)
              Remain same done clear
  D)
              Be halved done clear
  View Solution play_arrow

• question_answer60)
  A man can jump to a height of 1.5 m on a planet A. What is the height he may be able to jump on another planet whose density and radius are, respectively, one-quarter and one-third that of planet A                                   [AMU (Med.) 2001]
  A)
  1.5 m done clear
  B)
                15 m done clear
  C)
              18 m    done clear
  D)
              28 m done clear
  View Solution play_arrow

• question_answer61)
  Weight of a body is maximum at                     [AFMC 2001]
  A)
  Moon done clear
  B)
                Poles of earth done clear
  C)
              Equator of earth           done clear
  D)
              Centre of earth done clear
  View Solution play_arrow

• question_answer62)
  What will be the acceleration due to gravity at height h if h >> R. Where R is radius of earth and g is acceleration due to gravity on the surface of earth                [RPET 2001]
  A)
              \[\frac{g}{{{\left( 1+\frac{h}{R} \right)}^{2}}}\] done clear
  B)
                \[g\left( 1-\frac{2h}{R} \right)\] done clear
  C)
              \[\frac{g}{{{\left( 1-\frac{h}{R} \right)}^{2}}}\] done clear
  D)
                \[g\left( 1-\frac{h}{R} \right)\] done clear
  View Solution play_arrow

• question_answer63)
  The acceleration due to gravity near the surface of a planet of radius R and density d is proportional to [MP PET 2002; AIEEE 2004]
  A)
              \[\frac{d}{{{R}^{2}}}\]      done clear
  B)
              \[d{{R}^{2}}\] done clear
  C)
              dR        done clear
  D)
              \[\frac{d}{R}\] done clear
  View Solution play_arrow

• question_answer64)
  The acceleration due to gravity is g at a point distant r from the centre of earth of radius R. If \[r<R\], then             [CPMT 2002]
  A)
              \[g\propto r\] done clear
  B)
                \[g\propto {{r}^{2}}\] done clear
  C)
              \[g\propto {{r}^{-1}}\] done clear
  D)
                \[g\propto {{r}^{-2}}\] done clear
  View Solution play_arrow

• question_answer65)
  A body weight W newton at the surface of the earth. Its weight at a height equal to half the radius of the earth will be [UPSEAT 2002]
  A)
              \[\frac{W}{2}\]           done clear
  B)
              \[\frac{2W}{3}\] done clear
  C)
              \[\frac{4W}{9}\]         done clear
  D)
              \[\frac{8W}{27}\] done clear
  View Solution play_arrow

• question_answer66)
  If the density of the earth is doubled keeping its radius constant then acceleration due to gravity will be \[(g=9.8\,m/{{s}^{2}})\]      [Pb. PMT 2002; Orissa 2002]
  A)
              \[19.6\,m/{{s}^{2}}\] done clear
  B)
                \[9.8\,m/{{s}^{2}}\] done clear
  C)
              \[4.9\,m/{{s}^{2}}\] done clear
  D)
                \[2.45\,m/{{s}^{2}}\] done clear
  View Solution play_arrow

• question_answer67)
  The acceleration due to gravity at pole and equator can be related as          [DPMT 2002]
  A)
              \[{{g}_{p}}<{{g}_{e}}\] done clear
  B)
                \[{{g}_{p}}={{g}_{e}}=g\] done clear
  C)
              \[{{g}_{p}}={{g}_{e}}<g\] done clear
  D)
                \[{{g}_{p}}>{{g}_{e}}\] done clear
  View Solution play_arrow

• question_answer68)
  If the value of ?g? acceleration due to gravity, at earth surface is \[10\,m/{{s}^{2}}\], its value in \[m/{{s}^{2}}\] at the centre of the earth, which is assumed to be a sphere of radius ?R? metre and uniform mass density is                         [AIIMS 2002]
  A)
  5          done clear
  B)
              10/R done clear
  C)
              10/2R   done clear
  D)
              Zero done clear
  View Solution play_arrow

• question_answer69)
  A 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 of 1 kg on the earth?s surface to be 10 N, the pull on the satellite will be  [Kerala (Engg.) 2002]
  A)
  880 N done clear
  B)
              889 N done clear
  C)
              890 N  done clear
  D)
              892 N done clear
  View Solution play_arrow

• question_answer70)
  Acceleration due to gravity on moon is 1/6 of the acceleration due to gravity on earth.  If the ratio of densities of earth \[({{\rho }_{e}})\] and moon \[({{\rho }_{m}})\] is \[\left( \frac{{{\rho }_{e}}}{{{\rho }_{m}}} \right)=\frac{5}{3}\] then radius of moon Rm in terms of Re will be               [MP PMT 2003]
  A)
              \[\frac{5}{18}{{R}_{e}}\]    done clear
  B)
              \[\frac{1}{6}{{R}_{e}}\] done clear
  C)
              \[\frac{3}{18}{{R}_{e}}\]    done clear
  D)
              \[\frac{1}{2\sqrt{3}}{{R}_{e}}\] done clear
  View Solution play_arrow

• question_answer71)
  The acceleration of a body due to the attraction of the earth (radius R) at a distance 2 R from the surface of the earth is (g = acceleration due to gravity at the surface of the earth) [MP PET 2003]
  A)
              \[\frac{g}{9}\] done clear
  B)
              \[\frac{g}{3}\] done clear
  C)
              \[\frac{g}{4}\] done clear
  D)
              g done clear
  View Solution play_arrow

• question_answer72)
  The depth at which the effective value of acceleration due to gravity is \[\frac{g}{4}\] is                                [MP PET 2003]
  A)
  R          done clear
  B)
              \[\frac{3R}{4}\] done clear
  C)
              \[11.2\times {{10}^{2}}\,km{{s}^{-1}}\] done clear
  D)
              \[\frac{R}{4}\] done clear
  View Solution play_arrow

• question_answer73)
  Weight of a body of mass m decreases by 1% when it is raised to height h above the earth?s surface. If the body is taken to a depth h in a mine, change in its weight is    [KCET 2003; MP PMT 2003]
  A)
  2% decrease done clear
  B)
                0.5% decrease done clear
  C)
              1% increase done clear
  D)
                0.5% increase done clear
  View Solution play_arrow

• question_answer74)
  If both the mass and the radius of the earth decrease by 1%, the value of the acceleration due to gravity will [MP PET 2004]
  A)
               Decrease by 1%           done clear
  B)
              Increase by 1% done clear
  C)
              Increase by 2% done clear
  D)
                Remain unchanged done clear
  View Solution play_arrow

• question_answer75)
   The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be [CBSE PMT 2004]
  A)
              \[2R\]   done clear
  B)
              \[4R\] done clear
  C)
              \[\frac{1}{4}R\]          done clear
  D)
              \[\frac{1}{2}R\] done clear
  View Solution play_arrow

• question_answer76)
   Two planets of radii in the ratio 2 : 3 are made from the material of density in the ratio 3 : 2. Then the ratio of acceleration due to gravity \[{{g}_{1}}/{{g}_{2}}\] at the surface of the two planets will be         [J & K CET 2004]
  A)
  1 done clear
  B)
              2.25 done clear
  C)
              4/9       done clear
  D)
              0.12 done clear
  View Solution play_arrow

• question_answer77)
   A person will get more quantity of matter in kg ?wt. at                       [J & K CET 2004]
  A)
  Poles    done clear
  B)
              At latitude of 60o done clear
  C)
              Equator done clear
  D)
                Satellite done clear
  View Solution play_arrow

• question_answer78)
   At what depth below the surface of the earth, acceleration due to gravity g will be half its  value 1600 km above the surface of the earth                      [Pb. PMT 2004]
  A)
              \[4.2\times {{10}^{6}}\,m\] done clear
  B)
                \[3.19\times {{10}^{6}}\,m\] done clear
  C)
              \[1.59\times {{10}^{6}}\,m\]            done clear
  D)
              None of these done clear
  View Solution play_arrow

• question_answer79)
   What should be the angular speed of earth, so that body lying on equator may appear weightlessness             \[(g=10\,m/{{s}^{2}},\,\,R=6400\,km)\]                       [Pb. PET 2000]
  A)
              \[\frac{1}{800}rad/s\] done clear
  B)
                \[\frac{1}{400}rad/s\] done clear
  C)
              \[\frac{1}{600}rad/s\] done clear
  D)
                \[\frac{1}{100}rad/s\] done clear
  View Solution play_arrow

• question_answer80)
   A body weight 500 N on the surface of the earth. How much would it weigh half way below the surface of the earth                            [Pb. PET 2001; BHU 2004]
  A)
  125 N  done clear
  B)
              250 N done clear
  C)
              500 N  done clear
  D)
              1000 N done clear
  View Solution play_arrow

• question_answer81)
   If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration on the surface of that planet is     [UPSEAT 2004; CBSE PMT 2005]
  A)
  0.2 g    done clear
  B)
              0.4 g done clear
  C)
              2 g       done clear
  D)
              4 g done clear
  View Solution play_arrow

• question_answer82)
   Acceleration due to gravity 'g' for a body of mass 'm' on earth's surface is proportional to (Radius of earth=R, mass of earth=M)                         [DCE 2004]
  A)
              \[GM/{{R}^{2}}\] done clear
  B)
                \[{{m}^{0}}\] done clear
  C)
              \[mM\]  done clear
  D)
              \[1/{{R}^{3/2}}\] done clear
  View Solution play_arrow

• question_answer83)
   A body has a weight 90 kg on the earth's surface, the mass of the moon is 1/9 that of the earth's mass and its radius is 1/2 that of the earth's radius. On the moon the weight of the body is          [Pb. PET 2003]
  A)
  45 kg    done clear
  B)
              202.5 kg done clear
  C)
              90 kg    done clear
  D)
              40 kg done clear
  View Solution play_arrow

• question_answer84)
   If it is assumed that the spinning motion of earth increases, then the weight of a body on equator     [RPMT 2003]
  A)
  Decreases done clear
  B)
              Remains constant done clear
  C)
              Increases done clear
  D)
                Becomes more at poles done clear
  View Solution play_arrow

• question_answer85)
   The masses of two planets are in the ratio 1 : 2. Their radii are in the ratio 1 : 2. The acceleration due to gravity on the planets are in the ratio                     [MH CET 2004]
  A)
  1 : 2     done clear
  B)
              2 : 1 done clear
  C)
              3 : 5     done clear
  D)
              5 : 3 done clear
  View Solution play_arrow

• question_answer86)
  If earth is supposed to be a sphere of radius R, if g30 is value of acceleration due to gravity at latitude of 30o and g at the equator, the value of \[g-{{g}_{{{30}^{o}}}}\] is                 [DCE 2005]
  A)
              \[\frac{1}{4}{{\omega }^{2}}R\] done clear
  B)
                \[\frac{3}{4}{{\omega }^{2}}R\] done clear
  C)
              \[{{\omega }^{2}}R\]           done clear
  D)
              \[\frac{1}{2}{{\omega }^{2}}R\] done clear
  View Solution play_arrow

• question_answer87)
  If M the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is                                              [J&K CET 2005]
  A)
              \[\frac{{{R}^{2}}}{M}\]     done clear
  B)
              \[\frac{M}{{{R}^{2}}}\] done clear
  C)
   \[M{{R}^{2}}\]       done clear
  D)
   \[\frac{M}{R}\] done clear
  View Solution play_arrow