JEE Questions for Physics Gravitation Quiz 8 - MCQExams.com

Kepler’s second law regarding constancy of aerial velocity of a planet is consequence of the law of conservation of
  • Energy
  • Angular Momentum
  • Linear momentum
  • None of these
The largest and 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-74356.png
  • 2)
    Physics-Gravitation-74357.png

  • Physics-Gravitation-74358.png

  • Physics-Gravitation-74359.png
According to kepler, the period of revolution of a planet (T) and its mean distance from the sun (r) are related by the equation

  • Physics-Gravitation-74361.png
  • 2)
    Physics-Gravitation-74362.png

  • Physics-Gravitation-74363.png

  • Physics-Gravitation-74364.png
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is Ro and mass of earth M , the angular momentum about the centre of earth is

  • Physics-Gravitation-74366.png
  • 2)
    Physics-Gravitation-74367.png

  • Physics-Gravitation-74368.png

  • Physics-Gravitation-74369.png
The earth E moves in an elliptical orbit with the sun s at one of the foci as shown in figure. Its speed of motion will be maximum at a point ..........
Physics-Gravitation-74371.png
  • C
  • A
  • B
  • D
The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun.
  • 2
  • 3
  • 4
  • 5
The earth revolves round the sun in one year. If distance between then becomes double the new period will be .......... years
  • 0.5
  • 2)
    Physics-Gravitation-74374.png
  • 4
  • 8

Physics-Gravitation-74376.png
  • 6
  • 12
  • 60
  • 112
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 moons’s rotation would be nearly .....days

  • Physics-Gravitation-74378.png
  • 2)
    Physics-Gravitation-74379.png

  • Physics-Gravitation-74380.png
  • 29

Physics-Gravitation-74381.png

  • Physics-Gravitation-74382.png
  • 2)
    Physics-Gravitation-74383.png

  • Physics-Gravitation-74384.png

  • Physics-Gravitation-74385.png
The radius of orbit of a planet is two times that of earth. The time period of planet is.........years.
  • 4.2
  • 2.8
  • 5.6
  • 8.4
If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to

  • Physics-Gravitation-74388.png
  • r

  • Physics-Gravitation-74389.png

  • Physics-Gravitation-74390.png
What does not change in the field of central force
  • Potential energy
  • Kinetic energy
  • linear momentum
  • Angular momentum
A thin uniform annular 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-74393.png

  • Physics-Gravitation-74394.png
  • 2)
    Physics-Gravitation-74395.png

  • Physics-Gravitation-74396.png

  • Physics-Gravitation-74397.png
Suppose the gravitational force varies inversely as the nth power of distance the time period of planet in circular orbit of radius R around the sun will be proportional to

  • Physics-Gravitation-74399.png
  • 2)
    Physics-Gravitation-74400.png

  • Physics-Gravitation-74401.png

  • Physics-Gravitation-74402.png
If the radius of the earth were to shrink by 1% its mass remaning the same, the acceleration due to gravity on the earth’s surface would
  • Decrease by 2%
  • Remain unchanged
  • Increase by 2%
  • Increases by 1%
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
  • mg R
  • 2)
    Physics-Gravitation-74405.png
  • 2 mgR

  • Physics-Gravitation-74406.png
The acceleration due to gravity is g at a point distant r from the centre of earth of radius R. If r
  • g∝r
  • g∝r2
  • g∝r–1
  • g∝ r–2
An artificial satellite moving in a circular orbit around earth has a total (kinetic + potential energy) Eo, its potential energy is

  • Physics-Gravitation-74408.png
  • 2)
    Physics-Gravitation-74409.png

  • Physics-Gravitation-74410.png

  • Physics-Gravitation-74411.png
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 agravitational attraction Their relative velocity of apporach at sepration distance r between them is

  • Physics-Gravitation-74413.png
  • 2)
    Physics-Gravitation-74414.png

  • Physics-Gravitation-74415.png

  • Physics-Gravitation-74416.png
A geostationary satellite orbits around the earth in a circular orbit of radius 3600 km the time period of a satellite orbiting a few hundred kilometres above the earth’s surface (earth = 6400 km) will approximately be = ...... h
  • 1/2
  • 1
  • 2
  • 4
The depth of at which the value of acceleration due to gravity becomes 1/n the time the value of at the surface is (R = radius of earth)
  • R/n
  • 2)
    Physics-Gravitation-74419.png
  • R/n2

  • Physics-Gravitation-74420.png
An object weights 72 N on the earth. Its weight at a height R/2 from earth is = .............. N
  • 32
  • 56
  • 72
  • zero
Let g be the acceleration due to gravity at earth’s surface and k be the rotational K.E. of earth suppose the earth’s radius decreases by 2% keeping all other quantities same then
  • g decreases by 2% and K decreases by 4 %
  • g decreases by 4% and K increases by 2%
  • g increases by 4% and K increases by 4%
  • g decreases by 4% and K increases by 4%
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 at their surface is ...............

  • Physics-Gravitation-74424.png
  • 2)
    Physics-Gravitation-74425.png

  • Physics-Gravitation-74426.png

  • Physics-Gravitation-74427.png
At what height over the earth’s pole, the free fall acceleration decreases by one percent = .................. km (Re = 6400 km).
  • 32
  • 80
  • 1.253
  • 64
The density of a newly discoverd 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 earth. If the radius of the earth is R, the radius of planet would be .....................
  • 2R
  • 4R
  • 1/4 R
  • R/2
If the value of ‘g’ acceleration due to gravity, at earth surface fis 10ms–2. its value in ms–2 at the center of earth, which is assumed to be a sphere of Radius ‘R’ meter and uniform density is
  • 5
  • 10/R
  • 10/2R
  • zero
A research satellite of mass 200 kg. circles the earth in an orbit of avrage radius 3R/2 where R is radius of earth. Assuming the gravitational pull 10 N, the pull on the satellite will be =..........N
  • 880
  • 889
  • 890
  • 892

Physics-Gravitation-74432.png

  • Physics-Gravitation-74433.png
  • 2)
    Physics-Gravitation-74434.png

  • Physics-Gravitation-74435.png

  • Physics-Gravitation-74436.png
A spherical planet has a mass Mp and diameter Dp A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

  • Physics-Gravitation-74438.png
  • 2)
    Physics-Gravitation-74439.png

  • Physics-Gravitation-74440.png

  • Physics-Gravitation-74441.png
Assuming the earth to have a constant density, point out which of following curves show the variation acceleration due to gravity from center of earth to points far away from the surface of earth ...............

  • Physics-Gravitation-74443.png
  • 2)
    Physics-Gravitation-74444.png

  • Physics-Gravitation-74445.png
  • None of these

Physics-Gravitation-74447.png
  • Depends on system of units only
  • Depends on medium between masses only
  • Depends on both (a) and (b)
  • Is independent of both (a) and (b)
The distance of the centres of moon and earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force will be zero

  • Physics-Gravitation-74449.png
  • 2)
    Physics-Gravitation-74450.png

  • Physics-Gravitation-74451.png

  • Physics-Gravitation-74452.png
Which of the following statements about the gravitational constant is true ?
  • It is a force
  • It has no unit
  • It has same value in all systems of units
  • It depends on the value of the masses
  • It does not depend on the nature of the medium in which the bodies are kept
The centripetal force acting on a satellite orbiting round the earth and the gravitational force of earth acting on the satellite both equal F. The net force on the satellite is
  • zero
  • F
  • F√2
  • 2F
A body of mass 500 g is thrown upward with a velocity 20 m/s and reaches back to the surface of a planet after 20 sec. Then , the weight of the body on that planet is
  • 2N
  • 4N
  • 5N
  • 1N
If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is

  • Physics-Gravitation-74455.png
  • 2)
    Physics-Gravitation-74456.png

  • Physics-Gravitation-74457.png

  • Physics-Gravitation-74458.png
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 - g30o is

  • Physics-Gravitation-74460.png
  • 2)
    Physics-Gravitation-74461.png

  • Physics-Gravitation-74462.png

  • Physics-Gravitation-74463.png
The value of \'g\' at a particular point is 9.8 m/s2 . 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
  • 4.9 m/sec2
  • 3.1 m/sec2
  • 9.8 m/sec2
  • 19.6 m/sec2
The weight of an object in the coal mine, sea level, at the top of the mountain are W1, W2 and W3 respectively, then
  • W1 < W2 > W3
  • W1 = W2 = W3
  • W1 < W2 < W3
  • W1 > W2 > W3
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
  • 45 kg
  • 202.5 kg
  • 90 kg
  • 40 kg
Spot the wrong statement :
The acceleration due to gravity \'g\' decreases if
  • We go down from the surface of the earth towards its centre
  • We go up from the surface of the earth
  • We go from the equator towards the poles on the surface of the earth
  • The rotational velocity of the earth is increased
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)
  • GM/R2
  • mo
  • mM
  • 1/R3/2
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
  • Will go on increasing continuously
  • Will go on decreasing continuously
  • Will remain same
  • Will first increase and then decrease
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
  • g/4
  • g/5
  • g/6
  • g/8
R is the radius of the earth and ω is its angular velocity and gp is value of g at the poles . The effective value of g at the latitude λ = 60o will be equal to

  • Physics-Gravitation-74468.png
  • 2)
    Physics-Gravitation-74469.png

  • Physics-Gravitation-74470.png

  • Physics-Gravitation-74471.png
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)
  • 32 km
  • 80 km
  • 1.253 km
  • 64 km
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
  • 1 : 2
  • 2 : 3
  • 2 : 1
  • 4 : 1
The ratio of the radii of planets A and B is k1 and ratio of acceleration due to gravity on them is k2. The ratio of escape velocities from them will be
  • k1 k2
  • 2)
    Physics-Gravitation-74531.png

  • Physics-Gravitation-74532.png

  • Physics-Gravitation-74533.png
0:0:1


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