JEE Questions for Physics Gravitation Quiz 5 - MCQExams.com

Planetary system in the solar system describes
  • Conservation of energy
  • Conservation of linear momentum
  • Conservation of angular momentum
  • None of the above
If mass of a satellite is doubled and time period remain constant the ratio of orbit in the two cases will be
  • 1 : 2
  • 1 : 1
  • 1 : 3
  • None of these
Kepler discovered
  • Laws of motion
  • Laws of rotational motion
  • Laws of planetory motion
  • Laws of curvilinear motion
In the solar system, which is conserved
  • Total Energy
  • K.E
  • Angular Velocity
  • Linear Momentum
In the previous question the orbital velocity of the planet will be minimum at
  • A
  • B
  • C
  • D
If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been
  • 64.5
  • 129
  • 182.5
  • 730
The mass of the moon is about 1.2% of the mass of the earth. Compared to the gravitational force the earth exerts on the moon, the gravitational force the moon exerts on earth
  • Is the same
  • Is smaller
  • Is greater
  • Varies with its phase
The ratio of the radius of the earth to that of the moon is 10. The ratio of acceleration due to gravity on the earth and on the moon is 6. The ratio of the escape velocity from the earth\'s surface to that from the moon is
  • 10
  • 6
  • Nearly 8
  • 1.66
Assertion A force act upon the earth revolving in a circular orbit about the sun. Hence, work should be done on the earth.
Reason The necessary centripetal force for circular motion of earth comes from the gravitational force between earth and sun.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true.
Assertion The speed of satellite always remains constant in an orbit
Reason The speed of a satellite depends on its path.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true.
Assertion Earth has an atmosphere but the moon does not.
Reason Moon is very small in comparison to earth.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true.
Assertion A body becomes weightless at the centre of earth
Reason As the distance from centre of earth decreases, acceleration due to gravity increases
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true.

Physics-Gravitation-73998.png
  • 96 N
  • 108 N
  • 120 N
  • 150 N
Two bodies each of mass M are kept fixed with a separation 2L . A particle of mass m is projected from the mid-point of the line joining their centres perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are)
  • The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is
    Physics-Gravitation-73999.png
  • The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is
    Physics-Gravitation-74000.png
  • The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is
    Physics-Gravitation-74001.png
  • The energy of the mass m remains constant
A thin uniform angular disc (see figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point P on its axis to infinity is
Physics-Gravitation-74003.png

  • Physics-Gravitation-74004.png
  • 2)
    Physics-Gravitation-74005.png

  • Physics-Gravitation-74006.png

  • Physics-Gravitation-74007.png
The change in potential energy when a body of mass m is raised to a height nR from earth's surface is (R = radius of the earth)

  • Physics-Gravitation-74008.png
  • mgR

  • Physics-Gravitation-74009.png

  • Physics-Gravitation-74010.png

  • Physics-Gravitation-74011.png
An asteroid of mass m is approaching the earth, initially at a distance of 10 Re from the centre of earth with speed vi . It hits the earth with a speed vf (Re and Me are radius and mass of earth), then

  • Physics-Gravitation-74012.png
  • 2)
    Physics-Gravitation-74013.png

  • Physics-Gravitation-74014.png

  • Physics-Gravitation-74015.png
A rocket is sent vertically up with a velocity v less than the escape velocity from the earth. Taking M and r as the mass and radius of the earth, the maximum height h attained by the rocket is given by the following expression
  • v2 R2 / ( 2GR - Mv)
  • v2 R2 / ( 2GM + v2 R)
  • v2 R2 / ( 2GM - v2 R)
  • v2 R2 / ( 2Gv + RM)
An artificial satellite is moving in a circular orbit around the earth. The height of the satellite above the surface of earth is R. Suppose, the satellite is stopped suddenly in its orbit and allowed to fall freely. On reaching earth, its speed will be
  • √gR
  • 2√gR
  • 3√gR
  • 5√gR

Physics-Gravitation-74016.png

  • Physics-Gravitation-74017.png
  • 2)
    Physics-Gravitation-74018.png

  • Physics-Gravitation-74019.png

  • Physics-Gravitation-74020.png
Two satellites of earth, S1 and S2, are moving in the same orbit. The mass of S1 is four times the mass of S2. Which one of the following statements is true?
  • The time period of S1 is four times that of S2
  • The potential energies of the earth and satellite in the two cases are equal
  • S1 and S2 are moving with the same speed
  • The kinetic energies of the two satellites are equal
If the universal gravitational constant was time dependent, then which of the following quantities would be conserved ?
  • potential energy
  • kinetic energy
  • linear momentum
  • angular momentum
If the radius of the earth were to shrink by two percent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would
  • decrease by 2%
  • increase by 2%
  • increase by 4%
  • decrease by 4%
If different planets have the same density but different radii, then the acceleration due to gravity on the surface of the planet is related to the radius (R) of the planet as

  • Physics-Gravitation-74023.png
  • 2)
    Physics-Gravitation-74024.png

  • Physics-Gravitation-74025.png

  • Physics-Gravitation-74026.png
A spherical planet far out in space has a mass M0 and diameter D0. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

  • Physics-Gravitation-74028.png
  • 2)
    Physics-Gravitation-74029.png

  • Physics-Gravitation-74030.png

  • Physics-Gravitation-74031.png
Two equal masses m and m are hung from a balance whose scale pans differ in height by h. If ρ is the mean density of earth, then the error in weighing is
  • zero
  • 4 πGρmh/3
  • 8 πGρmh/3
  • 2 πGρmh/3
One goes from the centre of the earth to a distance two third the radius of the earth, where will the acceleration due to gravity be the greatest ?
  • At the centre of the earth
  • At a height half the radius of the earth
  • At a height one third the radius of the earth
  • At a height two third the radius of the earth
The radii of two planets are respectively R1 and R2 and their densities are respectively ρ1 and ρ2. The ratio of the accelerations due to gravity (g1/g2) at their surface is

  • Physics-Gravitation-74035.png
  • 2)
    Physics-Gravitation-74036.png

  • Physics-Gravitation-74037.png

  • Physics-Gravitation-74038.png
Which of the following cannot be used for measuring time in a spaceship orbiting around the earth ?
  • atomic clock
  • quartz watch
  • electric clock
  • pendulum clock
If R is the radius of the earth and g is acceleration due to gravity on the earth’s surface, the mean density of earth is

  • Physics-Gravitation-74040.png
  • 2)
    Physics-Gravitation-74041.png

  • Physics-Gravitation-74042.png

  • Physics-Gravitation-74043.png
There are two bodies of masses 100,000 kg and 1000 kg separated by a distance of 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero ?
  • m/9
  • m/10
  • m/11
  • 10 m/11
A solid sphere is of density ρ and radius R. The gravitational field at a distance r from the centre of the sphere, where r < R, is

  • Physics-Gravitation-74046.png
  • 2)
    Physics-Gravitation-74047.png

  • Physics-Gravitation-74048.png

  • Physics-Gravitation-74049.png
A particle of mass m is placed at the centre of a uniform spherical shell of mass 3m and radius R. The gravitational potential on the surface of the shell is

  • Physics-Gravitation-74051.png
  • 2)
    Physics-Gravitation-74052.png

  • Physics-Gravitation-74053.png

  • Physics-Gravitation-74054.png
The period of a satellite in a circular orbit around a planet is independent of
  • the mass of the planet
  • the radius of the planet
  • the mass of the satellite
  • all the three parameters (a), (b) and (c).
Two satellites of masses m1 and m2 are revolving around the earth in circular orbit of radii r1 and r2. The ratio of their orbital velocities v1 /v2 is

  • Physics-Gravitation-74056.png
  • 2)
    Physics-Gravitation-74057.png

  • Physics-Gravitation-74058.png

  • Physics-Gravitation-74059.png
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’s atmosphere is
  • one
  • half
  • two
  • infinity

Physics-Gravitation-74062.png
  • g
  • g – a
  • g + a

  • Physics-Gravitation-74063.png
An artifical satellite is orbiting at a height of 1800 km from earth’s surface. The earth’s radius is 6300 km and g = 10 m/s2 on its surface. What is the radial acceleration
  • 6m/s2
  • 7 m/s2
  • 8 m/s2
  • 9 m/s2
The Radii of the circular orbits of two satellites around the earth are in the ratio 1 : 4 then the ratio of their respective periods of revolution is
  • 1 : 4
  • 4 : 1
  • 1 : 8
  • 8 : 1
An earth satellite of mass m revolves in a circular orbit at a height ‘h’ from the surface of earth. If R is radius and g is the acceleration due to gravity. The velocity of satellite in orbit is

  • Physics-Gravitation-74067.png
  • 2)
    Physics-Gravitation-74068.png

  • Physics-Gravitation-74069.png

  • Physics-Gravitation-74070.png
A planet moves around the Sun. At a point P, it is closed to the Sun at a distance d1, and has speed v1. At another point Q, when it is farthest from the Sun at a distance d2, its speed will be

  • Physics-Gravitation-74072.png
  • 2)
    Physics-Gravitation-74073.png

  • Physics-Gravitation-74074.png

  • Physics-Gravitation-74075.png
A satellite of mass m is revolving round the earth at a height R above the surface of the earth. If g is the gravitational field intensity at the earth’s surface and R is the radius, the K.E. of the satellite will be :

  • Physics-Gravitation-74077.png
  • 2)
    Physics-Gravitation-74078.png

  • Physics-Gravitation-74079.png

  • Physics-Gravitation-74080.png
The escape velocity for a planet is ve. A particle is projected from its surface with a speed v. For this particle to move as a satellite around the planet.

  • Physics-Gravitation-74082.png
  • 2)
    Physics-Gravitation-74083.png

  • Physics-Gravitation-74084.png

  • Physics-Gravitation-74085.png
If the earth is at one fourth of its present distance from the sun, the duration of the year will be changed by
  • half the present year
  • one-eighth of the present year
  • seventh-eighth of the present year
  • one-fourth of the present year
In an earth’s satellite, the astronaut stands on a platform. His weight as indicated by the balance will be
  • 6g
  • 2g
  • g
  • zero
Which of the following graphs between the square of the time period and cube of the distance of the planet from the sun is correct?

  • Physics-Gravitation-74088.png
  • 2)
    Physics-Gravitation-74089.png

  • Physics-Gravitation-74090.png

  • Physics-Gravitation-74091.png
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 satellite B will be
  • 12 V
  • 6 V
  • 4/3 V
  • 3/2 V
If the distance between earth and the sun were half of its present value, the no. of days in an year would have been
  • 64.5
  • 129
  • 182.5
  • 730
A body of mass ‘m’ is moved to a height ‘h’ equal to the radius of the earth. The increase in potential energy is
  • 2 mg R
  • mg R
  • 1⁄2 mg R
  • 1⁄4 mg R
The mass of the moon is 7.34 × 1022 kg and the radius is 1.74 × 106 m. The value of gravitational force field will be
  • 1.45 N/kg
  • 1.55 N/kg
  • 1.75 N/kg
  • 1.62 N/kg
0:0:1


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