JEE Questions for Physics Gravitation Quiz 14 - MCQExams.com

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2 (R2> R1) is

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  • 2)
    Physics-Gravitation-74945.png

  • Physics-Gravitation-74946.png

  • Physics-Gravitation-74947.png
The time period of a geostationary satellite is
  • 12 hours
  • 24 hours
  • 6 hours
  • 48 hours
A satellite of mass m is orbiting close to the surface of the earth (Radius R = 6400 km) has a kinetic energy k. The corresponding kinetic energy of the satellite to escape from the earth\'s gravitational field is
  • K
  • 2 K
  • mg R
  • mK
A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If v1 and v2 are the linear velocities at these points respectively. Then the ratio v1 / v2 is

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  • 2)
    Physics-Gravitation-74951.png

  • Physics-Gravitation-74952.png

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The time period T of the moon of planet Mars (mass Mm) is related to its orbital radius R (G = Gravitational constant) as

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  • 2)
    Physics-Gravitation-74956.png

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A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is
  • 5
  • 10

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The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1, is the time for the planet to move from C andD and t2 is the time to move from A to B then
Physics-Gravitation-74964.png
  • t1> t2
  • t1 = 4t2
  • t1 = 2t2
  • t1 = t2
The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is
  • 4 T
  • T/4
  • 8 T
  • T/8
If a body describes a circular motion under inverse square field, the time taken to complete one revolution T is related to the radius of the circular orbit as
  • T ∝r
  • T ∝r2
  • T2∝ r3
  • T∝ r4
A body is acted upon by a force towards a point. The magnitude of the force is inversely proportional to the square of the distance. The path of body will be
  • Ellipse
  • Hyperbola
  • Circle
  • Parabola
Kepler\'s second law regarding constancy of aerial velocity of a planet is a consequence of the law of conservation of
  • Energy
  • Angular momentum
  • Linear momentum
  • None of these
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is R0 and mass of the earth M, the angular momentum about the centre of the earth is

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  • 2)
    Physics-Gravitation-74970.png

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According to Kepler, the period of revolution of a planet (and its mean distance from the sun (r) are related by the equation
  • T3r3 = constant
  • T2r–3 = constant
  • Tr3 = constant
  • T2r = constant
The condition for a uniform spherical mass m of radius r to be a black hole is [G = Gravitational constant and g =Acceleration due to gravity]
  • (2Gm / r)1/2 ≤ c
  • (2Gm/r)1/2 = c
  • (2Gm/r)1/2≥ c
  • (gm/r)1/2≥ c
A body revolved around the sun 27 times faster than the earth. What is the ratio of their radii?
  • 1/3
  • 1/9
  • 1/27
  • 1/4
Two planets at mean distance d1 and d2 from the sun and their frequencies are n1 and n2 respectively then

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  • 2)
    Physics-Gravitation-74978.png

  • Physics-Gravitation-74979.png

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Which of the following astronomer first proposed that sun is static and earth rounds sun?
  • Copernicus
  • Kepler
  • Galileo
  • None of these
Hubble\'s law states that the velocity with which milky way is moving away from the earth is proportional to
  • Square of the distance of the milky way from the earth
  • Distance of milky way from the earth
  • Mass of the milky way
  • Product of the mass of the milky way and its distance from the earth
The radius of orbit of a planet is two times that of the earth. The time period of planet is
  • 4.2 years
  • 2.8 years
  • 5.6 years
  • 8.4 years
If orbital velocity of planet is given by v = GaMbRc, then
  • a = 1/3, b = 1/3, c = –1/3
  • a = 1/2, b = 1/2,c = –1/2
  • a = 1/2, b = –1/2, c = 1/2
  • a = 1/2, b = –1/2, c = –1/2
In planetary motion the areal velocity of position vector of a planet depends on angular velocity (ω) and the distance of the planet from sun (r). If so the correct relation for a real velocity is

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  • 2)
    Physics-Gravitation-74985.png

  • Physics-Gravitation-74986.png

  • Physics-Gravitation-74987.png
The ratio of the distances of two planets from the sun is 1.38. The ratio of their period of revolution around the sun is
  • 1.38
  • 1.383/2
  • 1.381/2
  • 1.383
The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can be written as
  • 4π2R3G–1T–2
  • 8π2R3G–1T–2
  • 12π2R3G–1T–2
  • 16π2R3G–1T–2
If r denotes the distance between the sun and the earth, then the angular momentum of the earth around thesun is proportional to

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  • 2)
    Physics-Gravitation-74992.png

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An asteroid of mass m is approaching earth, initially at a distance of 10 Re with speed vi. It hits the earth with a speed vf (Re and Me are radius and mass of earth), then

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  • 2)
    Physics-Gravitation-74998.png

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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of earth
  • The acceleration of S is always directed towards the centre of the earth
  • The angular momentum of S about the centre of the earth changes in direction but its magnitude remains constant
  • The total mechanical energy of S varies periodically with time
  • The linear momentum of S remains constant in magnitude
A mass M is split into two parts, m and (M – m), whichare 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
If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth\'s surface would
  • Decrease by 2%
  • Remain unchanged
  • Increase by 2%
  • Increase by 1%
Two stars of mass m1 and m2 are parts of a binary system. The radii of their orbits are r1 and r2 respectively, measured from the C.M. of the system. The magnitude of gravitational force m1 exerts on m2 is

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  • 2)
    Physics-Gravitation-75005.png

  • Physics-Gravitation-75006.png

  • Physics-Gravitation-75007.png
A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be
  • mgR
  • 1/2 mgR
  • 2 mgR
  • 1/4 mgR
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E0. Its potential energy is
  • –E0
  • 1.5 E0
  • 2 E0
  • E0
A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is

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    Physics-Gravitation-75012.png

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Two bodies of masses m1 and m2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at aseparation distance r between them is

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  • 2)
    Physics-Gravitation-75017.png

  • Physics-Gravitation-75018.png

  • Physics-Gravitation-75019.png
A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately
  • 0.5%
  • 1.0%
  • 1.5%
  • 3.0%
Assuming the earth to have a constant density, point out which of the following curves show the variation of acceleration due to gravity from the centre of earth to the points far away from the surface of earth

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  • 2)
    Physics-Gravitation-75023.png

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  • None of these
The diagram showing the variation of gravitational potential of earth with distance from the centre of earth is

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  • 2)
    Physics-Gravitation-75027.png

  • Physics-Gravitation-75028.png

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By which curve will the variation of gravitational potential of a hollow sphere of radius R with distance be depicted

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  • 2)
    Physics-Gravitation-75032.png

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A sphere of mass M and radius R2has a concentric cavity of radius R1 as shown in figure. The force fexerted by the sphere on a particle of mass m located at a distance r from the centre of sphere varies as (0 ≤ r ≤∞)
Physics-Gravitation-75036.png

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  • 2)
    Physics-Gravitation-75038.png

  • Physics-Gravitation-75039.png

  • Physics-Gravitation-75040.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?

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  • 2)
    Physics-Gravitation-75043.png

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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-75047.png
  • A
  • B
  • C
  • D
The curves for potential energy (U) and kinetic energy (Ex) of a two particle system are shown in figure. At what points the system will be bound?
Physics-Gravitation-75049.png
  • Only at point D
  • Only at point A
  • At point D and A
  • At points A, B and C
The correct graph representing the variation of total energy (E), kinetic energy (K) and potential energy (U) of a satellite with its distance from the centre of earth is

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  • 2)
    Physics-Gravitation-75051.png

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  • Physics-Gravitation-75053.png
A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U (r) vsr will be

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  • 2)
    Physics-Gravitation-75056.png

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  • Physics-Gravitation-75058.png

Physics-Gravitation-75060.png

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  • 2)
    Physics-Gravitation-75062.png

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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 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 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.
Assertion If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places.
Reason The value of acceleration due to gravity is independent of rotation 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.
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