Q.1
The period of a satellite in a circular orbit around a planet is independent of
  • a) the mass of the planet
  • b) the radius of the planet
  • c) the mass of the satellite
  • d) all of there parameters a, b, c
Q.2
In planetary motion
  • a)the angular speed remains constant
  • b) the total angular momentum remains constant
  • c)the linear speed remains constant
  • d)neither the angular momentum nor angular speed remains constant
Q.3
Inside the non uniform shell
  • a) the gravitational field is zero
  • b) the gravitational field is different everywhere
  • c)gravitational potential is zero
  • d)gravitational potential is not same everywhere
Q.4
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite very small compared to the mass of the earth. Then
  • a)the acceleration of S is don't change direction
  • b) the angular momentum of S about the centre of the earth changes in direction, but magnitude remains constant
  • c)the total mechanical energy energy of S varies periodically with time
  • d)the linear momentum of S remains constant in magnitude
Q.5
If the value of universal constant of gravitation is to decrease uniformly with time, then the satellite in orbit would still maintain its
  • a) tangential speed
  • b) radius of orbit
  • c) period of revolution
  • d) angular momentum
Q.6
A spaceship approaches the moon, whose mass and radius are M and R, along a line which is almost tangential o the moon's surface. At the moment of maximum approach the brake rocket is fired for a short while and the spaceship is transformed into a satellite of the moon. The change in velocity of the spaceship is
  • a)
    ch-7_qn-146choice_img_no1.png
  • b)
    ch-7_qn-146choice_img_no2.png
  • c)
    ch-7_qn-146choice_img_no3.png
  • d)
    ch-7_qn-146choice_img_no4.png
Q.7
A person will get more kg-wt at [ J and K CET 2004]
  • a) poles
  • b) at latitude of 60°
  • c)equator
  • d)satellite
Q.8
A body is suspended from a spring balance kept in a satellite. the reading of the balance is W1 when the satellite goes in an orbit of radius R and reading of the balance is W2 when it goes in an orbit of radius 2R. Then
  • b) W1 < W2
  • c) W1 > W2
  • d) W1 ≠ W2
  • a) W₁=W₂
Q.9
A planet is revolving around the sun in an elliptical orbit, its closest distance from the sun is r and the farthest distance is R. If the orbital velocity of the planet closest to the sun be v, then what is the velocity at the farthest point.
  • a) vr/R
  • b) vR/r
  • c) v(r/R)1/2
  • d) v(r/R)1/2
Q.10
A uniform spherical shell gradually shrinks maintaining its shape. the gravitational potential at the centre
  • a) increases
  • b) decreases
  • c) remains constant
  • d) oscillates
Q.11
P is a point at distance r from centre of solid sphere of radius a. The gravitational potential at P is V. If V is plotted as a function of r, which is the correct curve?
  • a)
    ch-7_qn-151choice_img_no1.png
  • b)
    ch-7_qn-151choice_img_no2.png
  • c)
    ch-7_qn-151choice_img_no3.png
  • d)
    ch-7_qn-151choice_img_no4.png
Q.12
The eccentricity of the earth's orbit is 0.The ratio of its maximum speed in its orbit to its minimum speed is
  • a) 1.67
  • b) 1.034
  • c) 1
  • d) 0.167
Q.13
A body of mass 'm' taken from the earth's surface tothe height equal to twice the radius (R) of the earth.The change in potential energy of body will be…[NEET 2013]
  • a) mg2R
  • b) 2mgR/3
  • c) 3mgR
  • d) mgR/3
Q.14
Infinite number of bodies, each of mass 2 kg aresituated on x-axis at distance 1 m, 2 m, 4 m, 8 m, .....respectively, from the origin. The resultinggravitational potential due to this system at theorigin will be
  • a) - G
  • b) -8G/3
  • c) -4G/3
  • d) -4G
Q.15
Dependence of intensityof gravitational field(E) of earth with distance (r) from centre ofearth is correctly represented by
  • a)
    ch-7_qn-155choice_img_no1.png
  • b)
    ch-7_qn-155choice_img_no2.png
  • c)
    ch-7_qn-155choice_img_no3.png
  • d)
    ch-7_qn-155choice_img_no4.png
Q.16
Kepler’s third law states that square of period of revolution (T) of a planet around the sun, isproportional to third power of average distance r between sun and planeti.e. T2 = Kr3 here K is constant.If the masses of sun and planet are M and m respectively then as per Newton’s law of gravitation forceof attraction between them is=G Mm/r2 , here G is gravitational constant. The relation between G and K is described as :
  • a) K=1/G
  • b) GK = 4π2
  • c) GMK = 4π2
  • d) K = G
Q.17
A satellite S is moving in an elliptical orbit aroundthe earth. The mass of thesatellite is very smallcompared to the mass of the earth. Then,.. [RE AIPMT 2015]
  • a) the acceleration of S is always directed towardsthe centre of the earth.
  • b) the angular momentum of S about the centreof the earth changes in direction, but itsmagnitude remains constant.
  • c) the total mechanical energy of S variesperiodically with time.
  • d) the linear momentum of S remains constant inmagnitude.
Q.18
A remote - sensing satellite of earth revolves in acircular orbit at a height of 0.25 × 106 m above thesurface of earth. If earth's radius is 6.38 × 106 m and g=9.8 ms-2, then the orbital speed of thesatellite is :
  • a) 6.67 km s-1
  • b) 7.76 km s-1
  • c) 8.56 km s-1
  • d) 9.13 km s-1
Q.19
At what height from the surface of earth thegravitation potential and the value of g are –5.4 × 107 J kg–2 and 6.0 ms–2 respectively ?Take the radius of earth as 6400 km : …[ AIPMT 2016]
  • a) 2600 km
  • b) 1600 km
  • c) 1400 km
  • d) 2000 km
Q.20
The ratio of escape velocity at earth (ve) to the escape velocity at a planet (vp)whose radius and mean density are twice as that of earth is :-
  • a) 1 : 2
  • b) 1 : 2√2
  • c) 1 : 4
  • d) 1 : √2
Q.21
Starting from the centre of the earth having radius R, the variation of g ( acceleration due to gravity) is shown by …[ NEET II – 2016]
  • a)
    ch-7_qn-162choice_img_no1.png
  • b)
    ch-7_qn-162choice_img_no2.png
  • c)
    ch-7_qn-162choice_img_no3.png
  • d)
    ch-7_qn-162choice_img_no4.png
Q.22
A satellite of mass m is orbiting the earth(of radius R) at a height h from its surface. The totalenergy of the satellite in terms of g0, the value ofacceleration due to gravity at the earth's surface, is …[ NEET II – 2016]
  • a)
    ch-7_qn-163choice_img_no1.png
  • b)
    ch-7_qn-163choice_img_no2.png
  • c)
    ch-7_qn-163choice_img_no3.png
  • d)
    ch-7_qn-163choice_img_no4.png
Q.23
The acceleration due to gravity at a height 1 kmabove the earth is the same as at a depth d belowthe surface of earth. Then …[NEET 2016]
  • a) ½ m
  • b) 1 km
  • c) 3/2 km
  • d) 2 km
Q.24
Which of the following statements are correct? …[NEET 2017] (i) Centre of mass of a body always coincides withthe centre of gravity of the body. (ii) Centre of mass of a body is the point at whichthe total gravitational torque on the body is zero (iii) A couple on a body produce both translationaland rotational motion in a body. (iv) Mechanical advantage greater than one meansthat small effort can be used to lift a large load.
  • a) (ii) and (iv)
  • b) (i) and (ii)
  • c) (ii) and (iii)
  • d) (iii) and (iv)
Q.25
Two astronauts are floating in gravitational free spaceafter having lost contact with their spaceship. Thetwo will … [ NEET 2017]
  • a) Keep floating at the same distance between them
  • b) Move towards each other
  • c) Move away from each other
  • d) Will become stationary
Q.26
Consider a drop of rain water having mass 1 g fallingfrom a height of 1 km. It its the ground with a speedof 50 m/s. Take g constant with a value10 m/sThe work done by the (i) gravitational force and the (ii) resistive force of air is
  • a) (i) – 10 J (ii) –8.25 J
  • b) (i) 1.25 J (ii) –8.25 J
  • c) (i) 100 J (ii) 8.75 J
  • d) (i) 10 J (ii) –8.75 J
Q.27
What is the minimum energy required to launch a satellite of mass m from the surface of a planetof mass M and radius R in a circular orbit at an altitude of 2R ?
  • a)
    ch-7_qn-168choice_img_no1.png
  • b)
    ch-7_qn-168choice_img_no2.png
  • c)
    ch-7_qn-168choice_img_no3.png
  • d)
    ch-7_qn-168choice_img_no4.png
Q.28
then one correct answer Q169) Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m isprojected from the midpoint of the line joining their centres, perpendicular to the line. Thegravitational constant is G. The correct statement(s) is (are) … [ IIT Advance 2013]
  • a) The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is
    ch-7_qn-169choice_img_no1.png
  • b) The minimum initial velocity of the mass m to escape the gravitational field of the two bodies is
    ch-7_qn-169choice_img_no2.png
  • c) The minimum initial velocity of the mass m to escape the gravitational field of the twobodies is
    ch-7_qn-169choice_img_no3.png
  • d) The energy of the mass m remains constant
Q.29
A planet of radius R =X/10 , (X radius of Earth) has the same mass density as Earth. Scientists dig a well of depth R/5 on it and lower a wire of the same length and of linearmass density 10−3 kgm−1 into it. If the wire is not touching anywhere, the force applied atthe top of the wire by a person holding it in place is (take the radius of Earth = 6 × 106 m and the acceleration due to gravity on Earth is 10 ms−2) [IIT Advance 2014]
  • a) 96 N
  • b) 108 N
  • c) 120 N
  • d) 150 N
Q.30
A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the sun and the Earth. The Sun is 3 × 105 times heavier than the Earth and is at a distance 2.5 ×104 times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is ve = 11.2 km s–The minimum initial velocity (vs) required for the rocket to be able to leave the Sun- Earth system is closest to (Ignore the rotation and revolution of the Earth and the presence of any other planet) [IIT Advance 2017]
  • a) vs = 22 km s–1
  • b) vs = 72 km s–1
  • c) vs = 42 km s–1
  • d) vs = 62 km s–1
0 h : 0 m : 1 s