JEE Questions for Physics Gravitation Quiz 15 - MCQExams.com

Assertion The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason The value of acceleration due to gravity is minimum at the equator and maximum at the pole.
  • 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 For the planets orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant.
Reason No torque is acting on the rotating planet. So its angular momentum is constant.
  • 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 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 revolution of an artificial satellite revolving very near the earth is 8 luns–1.
Reason Orbital velocity of a satellite, become independent of height of satellite.
  • 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 Gravitational potential of earth at every place on it is negative.
Reason Every body on earth is bound by the attraction of 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 Even when orbit of a satellite is elliptical,\' its plane of rotation passes through the centre of earth.
Reason According to law of conservation of angular momentum plane of rotation of satellite always remain same.
  • 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 planet moves faster, when it is closer to the sun in its orbit and vice versa.
Reason Orbital velocity in the orbit of planet is constant.
  • 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 Orbital velocity of a satellite is greater than its escape velocity.
Reason Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of 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 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 The time period of geostationary satellite is 24 hours.
Reason Geostationary satellite must have the same time period as the time taken by the earth to complete one revolution about its axis.
  • 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 principle of superposition is not valid for gravitational force.
Reason Gravitational force is a conservative force.
  • 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 Two different planets have same escape velocity.
Reason Value of escape velocity is a universal constant.
  • 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 time period of revolution of a satellite close to surface of earth is smaller than that revolving away from surface of earth.
Reason The square of time period of revolution of a satellite is directly proportional to cube of its orbital radius.
  • 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 For a satellite revolving very near to earth\'s surface the time period of revolution is given by 1 hour 24 minutes.
Reason The period of revolution of a satellite depends only upon its height above the earth\'s surface.
  • 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 Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very large height.
Reason The path of a projectile is independent of the gravitational force of 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.
Assertion Space rockets are usually launched in the equatorial line from west to east.
ReasonThe acceleration due to gravity is minimum at the equator.
  • 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 binding energy of a satellite does not depend upon the mass of the satellite.
Reason Binding energy is the negative value of total energy of satellite.
  • 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.
The mean radius of the earth\'s orbit round the sun is 1.5 × 1011. The mean radius of the orbit of mercury round the sun is 6 × 1010 m. The mercury will rotate around the sun in
  • A year
  • Nearly 4 years
  • Nearly 1/4year
  • 2.5 years
Two identical satellites A and B are circulating round the earth at the height of R and 2R respectively, (where R is radius of the earth). The ratio of kinetic energy of A to that of B is
  • 1/2
  • 2/3
  • 2
  • 3/2
An earth satellite is moved from one stable circular orbit to a further stable circular orbit, which one of the following quantities increase
  • Gravitational force
  • Gravitational P.E.
  • Linear orbital speed
  • Centripetal acceleration
A man inside an artificial satellite feels weightlessness because the force of attraction due to earth is
  • Zero at that place
  • Is balanced by the force of attraction due to moon
  • Equal to the centripetal force
  • Non-effective due to particular design of the satellite
Time period of revolution of a nearest satellite around a planet of radius R is T. Period of revolution around another planet, whose radius is 3R but having same density is
  • T
  • 3T
  • 9T
  • 3√3 T
The ratio of the radius of a planet \'A\' to that of planet \'B\' is `r\'. The ratio of acceleration due to gravity on the planets is \'x\'. The ratio of the escape velocities from the two planets is

  • Physics-Gravitation-75066.png
  • 2)
    Physics-Gravitation-75067.png

  • Physics-Gravitation-75068.png

  • Physics-Gravitation-75069.png
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
A clock S is based on oscillation of a spring and a clock P is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having the same density as earth but twice the radius
  • S will run faster than P
  • P will run faster than S
  • They will both run at the same rate as on the earth
  • None of the above
The ratio of the radius of the earth to that of the moon is10. The ratio of acceleration due to gravity on the earth and on the moon is 6. The ratio of the escape velocityfrom the earth\'s surface to that from the moon is
  • 10
  • 6
  • Nearly 8
  • 1.66
The mass of the moon is 1/81of the earth but the gravitational pull is 1/6 of the earth. It is due to the fact that

  • Physics-Gravitation-75070.png
  • 2)
    Physics-Gravitation-75071.png
  • Moon is the satellite of the earth
  • None of the above
A body falls freely under gravity. Its speed is v when it has lost an amount U of the gravitational energy. Then its mass is

  • Physics-Gravitation-75072.png
  • 2)
    Physics-Gravitation-75073.png

  • Physics-Gravitation-75074.png

  • Physics-Gravitation-75075.png
If a planet consists of a satellite whose mass and radius were both half that of the earth, the acceleration due to gravity at its surface would be(g on earth = 9.8 m/sec2)
  • 19.6 m/sec2
  • 29.4 m/sec2
  • 4.9 m/sec2
  • 8.9 m/sec2
At a given place where acceleration due to gravity is \'g\'m/sec2, a sphere of lead of density\'d\' kg/m3 is gently released in a column of liquid of density ‘ρ\' kg/m3. If d > ρ, the sphere will
  • Fall vertically with an acceleration 'g' m/sec2
  • Fall vertically with no acceleration

  • Physics-Gravitation-75076.png

  • Physics-Gravitation-75077.png
ge and gp denote the acceleration due to gravity on thesurface of the earth and another planet whose mass and radius are twice as that of earth. Then
  • gp = ge
  • gp = ge / 2
  • gp = 2ge
  • gp = ge / 4
At some point the gravitational potential and also the gravitational field due to earth is zero. The point is
  • On earth's surface
  • Below earth's surface
  • At a height Re from earth's surface (Re = radius of the earth)
  • At infinity
The acceleration due to gravity about the earth\'s surface would be half of its value on the surface of the earth at an altitude of (R = 4000 mile)
  • 1200 mile
  • 2000 mile
  • 1600 mile
  • 4000 mile
A pendulum clock is set to give correct time at the sea level. This clock is moved to hill station at an altitude of 2500 m above the sea level. In order to keep correct time of the hill station, the length of the pendulum
  • Has to be reduced
  • Has to be increased
  • Needs no adjustment
  • Needs no adjustment but its mass has to be increased
A solid sphere of uniform density and radius R applies a gravitational force of attration equal to F1 on a particle placed at P, distance 2 R from the centre O of the sphere. A spherical cavity of radius r/2 is now made in the sphere as shown in Fig. The sphere with cavity now applies a gravitational force F2 on same particle placed at P. The ratio F2/F1 will be
  • 1/2
  • 7/9
  • 3
  • 7
A pendulum is taken inside 1 km from sea level, in one day it,
  • loses 13.5 sec.
  • gains 13.5 sec.
  • loses 7 sec.
  • gains 7 sec.
Two spherical planets A and B have same mass but densities in the ratio 8: 1. For these planets, the ratio of acceleration due to gravity at the surface of A to its value at the surface of B is
  • 1 : 4
  • 1 : 2
  • 4 : 1
  • 8 : 1
If g is the acceleration due to gravity on the earth’s surface, the gain in potential energy of the earth at a height equal to three times the radius R of the earth will be
  • mgR
  • 2)
    Physics-Gravitation-75081.png

  • Physics-Gravitation-75082.png

  • Physics-Gravitation-75083.png

Physics-Gravitation-75085.png
  • x + y = 6
  • x + 4 y = 6
  • y + 4x =6
  • x – y = 6
The correct graph between the intensity of gravitational field (IG) due to a solid sphere and distance from its centre (r) will be

  • Physics-Gravitation-75087.png
  • 2)
    Physics-Gravitation-75088.png

  • Physics-Gravitation-75089.png

  • Physics-Gravitation-75090.png
Select the proper graph between the gravitational potential (Vg) due to hollow sphere and distance (r) from its centre.

  • Physics-Gravitation-75091.png
  • 2)
    Physics-Gravitation-75092.png

  • Physics-Gravitation-75093.png

  • Physics-Gravitation-75094.png
An artificial satellite revolves around the earth in a circular orbit with a speed v. If m is the mass of the satellite, its total energy is

  • Physics-Gravitation-75096.png
  • 2)
    Physics-Gravitation-75097.png

  • Physics-Gravitation-75098.png

  • Physics-Gravitation-75099.png
A satellite of mass ms revolving in a circular orbit of radius rs around the earth of mass M, has a total energy E. Then its angular momentum will be

  • Physics-Gravitation-75101.png
  • 2)
    Physics-Gravitation-75102.png

  • Physics-Gravitation-75103.png

  • Physics-Gravitation-75104.png
At a given place where, acceleration due to gravity is gm/sec2, a sphere of lead of density d kg/metre3 is gently released in a column of liquid of density ρ kg/metre3. If d>ρ, the sphere will
  • fall vertically with an acceleration of g m/s2
  • fall vertically with no acceleration

  • Physics-Gravitation-75106.png

  • Physics-Gravitation-75107.png
An artificial satellite of mass m is revolving round the earth in an orbit of radius R, the work done in one revolution is
  • mgR
  • 1/2 mgR
  • 2πmgR
  • zero
A satellite is circling the earth along a circular orbit of radius R. Which of the following is not true ?
  • Kinetic energy varies as 1/R
  • 2)
    Physics-Gravitation-75110.png

  • Physics-Gravitation-75111.png

  • Physics-Gravitation-75112.png
The magnitudes of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively. Then

  • Physics-Gravitation-75114.png
  • 2)
    Physics-Gravitation-75115.png

  • Physics-Gravitation-75116.png

  • Physics-Gravitation-75117.png
The escape velocity on the surface of the earth is 11.2 km/s. What would be the escape velocity on the surface of another planet of the same mass but 1⁄4 times the radius of the earth ?
  • 44.8 km/s
  • 22.4 km/s
  • 5.6 km/s
  • 11.2 km/s
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