JEE Questions for Physics Gravitation Quiz 10 - MCQExams.com

A satellite revolves around the earth in an elliptical orbit. Its speed
  • Is the same at all points in the orbit
  • Is greatest when it is closest to the earth
  • Is greatest when it is farthest from the earth
  • Goes on increasing or decreasing continuously depending upon the mass of the satellite
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

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  • 2)
    Physics-Gravitation-74573.png

  • Physics-Gravitation-74574.png

  • Physics-Gravitation-74575.png
In a satellite if the time of revolution is T, then K.E is proportional to

  • Physics-Gravitation-74577.png
  • 2)
    Physics-Gravitation-74578.png

  • Physics-Gravitation-74579.png

  • Physics-Gravitation-74580.png
Out Of the following, the only correct statement about satellites is
  • A satellite cannot move in a stable orbit in a plane passing through the earth's centre
  • Geostationary satellites are launched in the equatorial plane
  • We can use just one geostationary satellite for global communication around the globe
  • The speed of a satellite increases with an increase in the radius of its orbit
Orbital velocity of an artificial satellite does not depend upon
  • Mass of the earth
  • Mass of the satellite
  • Radius of the earth
  • Acceleration due to gravity
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
  • 3.5 km/s
  • 7 km/s
  • 72 km/s
  • 14 km/s
Two identical satellites are at R and 7R away from earth surface, the wrong statement is (R = Radius of earth)
  • Ratio of total energy will be 4
  • Ratio of kinetic energies will be 4
  • Ratio of potential energies will be 4
  • Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2
The mean radius of the earth is R, its angular speed on its own axis is ω 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
  • R2g/ω
  • R2ω2/g
  • Rg/ω2
  • R2g/ω2
An artificial satellite of mass \'m\' revolves around the earth near to its surface, then its binding energy is [Re, g are radius and acceleration due to gravity respectively of the earth]

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  • 2)
    Physics-Gravitation-74588.png

  • Physics-Gravitation-74589.png

  • Physics-Gravitation-74590.png
A satellite whose mass is M, is revolving in circular orbit of radius r around the earth. Time of revolution of satellite is

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  • 2)
    Physics-Gravitation-74593.png

  • Physics-Gravitation-74594.png

  • Physics-Gravitation-74595.png
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
  • 6400 km
  • 4800 km
  • 32000 km
  • 36000 km
The weight of an astronaut, in an artificial satellite revolving around the earth, is
  • Zero
  • Equal to that on the earth
  • More than that on the earth
  • Less than that on the earth
Which of the following statements is correct in respect of a geostationary satellite ?
  • It moves in a plane containing the Greenwich meridian
  • It moves in a plane perpendicular to the celestial equatorial plane
  • Its height above the earth's surface is about the same as the radius of the earth
  • Its height above the earth's surface is about six times the radius of the earth
The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6 × 1024 kg and G = 6.66 × 10-11 Nm2/kg2. The speed of the moon is nearly
  • 1 km/sec
  • 4 km/sec
  • 8 km/sec
  • 11.2 km/sec
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
  • 3 km/s
  • 16 km/s
  • 7.15 km/s
  • 8 km/s
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

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  • 2)
    Physics-Gravitation-74599.png

  • Physics-Gravitation-74600.png

  • Physics-Gravitation-74601.png
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
  • 8R
  • 4R
  • 2R
  • R
A person sitting in a chair in a satellite feels weightless because
  • The earth does not attract the objects in a satellite
  • The normal force by the chair on the person balances the earth's attraction
  • The normal force is zero
  • The person in satellite is not accelerated
Rockets are launched in eastward direction to take advantage of
  • The clear sky on eastern side
  • The thinner atmosphere on this side
  • Earth's rotation
  • Earth's tilt
Pick out the most correct statement with reference to earth satellites.
  • Geostationary satellites are used for remote sensrng.
  • Polar satellites are used for telecommunications.
  • INSAT group of satellites belong to geostationary satellites.
  • Polar satellites are at a height of about 36,000 km.
A satellite is moving with a constant speed \'V\' in a circular orbit about the earth. An object of mass \'m\' is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is

  • Physics-Gravitation-74608.png
  • mV2

  • Physics-Gravitation-74609.png
  • 2mV2
Assertion : Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution.
Reason : According to Kepler\'s third law of planetary motion , square of time period is proportional to cube of mean distance from 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 and the Reason is 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 force between two particles is negligibly small compared to the electrical force.
Reason The electrical force is experienced by charged particles only.
  • 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 There is no effect of rotation of earth on acceleration due to gravity at poles.
Reason Rotation of earth is about polar 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 We can not move even a finger without disturbing all the stars.
Reason Every body in this universe attracts every other body with a force which is inversely proportional to the square of distance between them.
  • 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 If a pendulum is suspended in a lift and lift is falling freely, then its time period becomes infinite.
Reason Free falling body has acceleration equal to acceleration due to gravity.
  • 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 distance of neptune and saturn from sun are nearly 1013 and 1012 m respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

  • Physics-Gravitation-74614.png
  • 100

  • Physics-Gravitation-74615.png

  • Physics-Gravitation-74616.png
The earth revolves about the sun in an elliptical orbit with mean radius 9.3 × 107 m in a period of 1 year. Assuming that there are no outside influences
  • The earth's kinetic energy remains constant
  • The earth's angular momentum remains constant
  • The earth's potential energy remains constant
  • All are correct
A planet moves around the sun. At a given point P, it is closest from the sun at a distance d1 and has a speed v1. At another point Q, when it is farthest from the sun at a distance d2 , its speed will be

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  • 2)
    Physics-Gravitation-74619.png

  • Physics-Gravitation-74620.png

  • Physics-Gravitation-74621.png
The largest and the shortest distance of the earth from the sun are r1 and r2, its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun

  • Physics-Gravitation-74623.png
  • 2)
    Physics-Gravitation-74624.png

  • Physics-Gravitation-74625.png

  • Physics-Gravitation-74626.png
The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be
  • 83 minutes
  • 2)
    Physics-Gravitation-74628.png
  • 664 minutes
  • 249 minutes
Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e., F ∝ 1/r3 , but still remaining a central force. Then,
  • Keplers law of areas still holds
  • Keplers law of period still holds
  • Keplers law of areas and period still hold
  • Neither the law of areas, nor the law of period still holds
The earth revolves round the sun in one year. If the distance between them becomes double, the new period of revolution will be
  • 1/2 year
  • 2√2 years
  • 4 years
  • 8 years
The maximum and minimum distances of a comet from the sun are 8 × 1012 m and 1.6 × 1012 m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity in m/s when it is farthest ?
  • 12
  • 60
  • 112
  • 6
The period of moon\'s rotation around the earth is nearly 29 days. If moon\'S mass were 2 fold, its present value and all other things remained unchanged, the period of moon\'s rotation would be nearly

  • Physics-Gravitation-74632.png
  • 2)
    Physics-Gravitation-74633.png
  • 29 × 2 days
  • 29 days
The orbital angular momentum of a satellite revolving at a distance r from the centre is L. If the distance is increased to 16r, then the new angular momentum will be
  • 16 L
  • 64 L
  • L/4
  • 4 L
The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can written as
  • 4π2R3G–1T–2
  • 8π2R3G–1T–2
  • 12π2R3G–1T–2
  • 16π2R3G–1T–2
In an elliptical orbit under gravitational force, in general
  • Angular velocity is constant
  • Radial velocity is constant
  • Tangential velocity is constant
  • Areal velocity is constant
A mass M is split into two parts, m and (M – m), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts ?
  • 1/3
  • 1/2
  • 1/4
  • 1/5
Suppose the gravitational force varies inversely as the nth power of distance. Then, the time period of a planet in circular orbit of radius R around the sun will be proportional to

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  • 2)
    Physics-Gravitation-74638.png

  • Physics-Gravitation-74639.png

  • Physics-Gravitation-74640.png
A system of binary stars of masses mA and mB are moving in circular orbits of radii rA and rB respectively. If TA and TB are the times periods of masses mA and mB respectively then,

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  • 2)
    Physics-Gravitation-74643.png

  • Physics-Gravitation-74644.png

  • Physics-Gravitation-74645.png
A simple pendulum has a time period T1 when on the earth\'s surface and T2 when taken to a height R above the earth\'s surface, where R is the radius of the earth. The value of T2/T1 is
  • 1
  • √2
  • 4
  • 2
The ratio of radii of earth to another planet is 2/3 and the ratio of their mean densities is 4/5. If an astronaut can jump to a maximum height of 1.5 m on the earth, with the same effort, the maximum height he can jump on the planet is
  • 1 m
  • 0.8 m
  • 0.5 m
  • 1.25 m
  • 2 m
A projectile is projected with velocity kve in vertically upward direction from the ground into the space. (ve is escape velocity and k < 1). If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be : (R = Radius of earth)

  • Physics-Gravitation-74649.png
  • 2)
    Physics-Gravitation-74650.png

  • Physics-Gravitation-74651.png

  • Physics-Gravitation-74652.png
A geostationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then, the time period of a satellite orbiting a few hundred kilometres above the earth\'s surface (REarth = 6400 km) will approximately be
  • 1/2 h
  • 1h
  • 2h
  • 4h
The diagram showing the variation of gravitational potential of earth with distance from the centre of earth is

  • Physics-Gravitation-74655.png
  • 2)
    Physics-Gravitation-74656.png

  • Physics-Gravitation-74657.png

  • Physics-Gravitation-74658.png
By which curve will the variation of gravitational potential of a hollow sphere of radius R with distance be depicted

  • Physics-Gravitation-74660.png
  • 2)
    Physics-Gravitation-74661.png

  • Physics-Gravitation-74662.png

  • Physics-Gravitation-74663.png
Which one of the following graphs represents correctly the variation of the gravitational field (F) with the distance (r) from the centre of a spherical shell of mass M and radius a?

  • Physics-Gravitation-74665.png
  • 2)
    Physics-Gravitation-74666.png

  • Physics-Gravitation-74667.png

  • Physics-Gravitation-74668.png
Suppose, the acceleration due to gravity at the earth\'s surface is 10 m/s2 and at the surface of mars it is 4.0 m /s2. A 60 kg passenger goes from the earth to the mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of figure best represents the weight (net gravitational force)of the passenger as a function of time?
Physics-Gravitation-74670.png
  • A
  • B
  • C
  • D
Which of the following graphs represents the motion of a planet moving about the sun ?

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  • 2)
    Physics-Gravitation-74672.png

  • Physics-Gravitation-74673.png

  • Physics-Gravitation-74674.png
0:0:1


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