INDUS RANGERS INSTITUTE PVT.
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                               GRAVITATION
1.If the radius of the earth were to     5.If the distance between two masses
shrink by one percent, it mass           is doubles ,the gravitational
remaining the same ,the value of g on    attraction between them
the earth’s surface would.               (a)is doubled
(a)increased by 0.5 % (b)increase        (b)becomes four times
by 2%                                    (c)is reduced half
(c)decrease by 0.5 %      (d)decrease    (d)is reduced to quarter
by 2%                                    6.The relay satellite transmits the
2.The escape velocity from the earth     television programme continuously
is 11 km/s. The escape velocity a from   from one part of the world to another
a planet having twice the radius and     because its
the same mean density as those of the    (a)period is greater than the period of
earth is                                 rotation of the earth its axis
(a)5.5 km/s         (b)11km/s            (b)period is less than the period of
(c)22km/s           (d)none of these     rotation of the earth about its axis
3.The orbital speed of Jupiter is        (c)period to equal to the period of
(a)greater than the orbital speed of     rotation of the earth about its axis
the earth                                (d)mass is less than the mass of the
(b)less than the orbital speed of the    earth
earth                                     7.Imagine a light planet revolving
(c)equal to the orbital speed of the     around a very massive star in a
earth                                    circular orbit of radius R with period
(d)zero                                  T. If the gravitational force of
4. A body of mass m is taken from the    attraction between the planet and the
earth’s surface to a height equal to     star is proportional to         ,then
the radius R of the earth .If g is the   is proportional to
acceleration due to gravity at the       (a)      (b)      (c      (d)
surface of the earth, then the change    8.A satellite of mass m is revolving
in the potential energy of the body is   around the earth at a height R above
(a) mgR          (b)                     the surface of the earth. If g is the
(c)mgR           (d)2 mgR                gravitational field of the earth .If g is
                                         the gravitational field intensity at the
                                         earth’s surface and R is the radius of
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the earth, the kinetic energy of the                 .The ratio of the acceleration due to
satellite is                                         gravity at their surfaces is
(a)                  (b)                             (a)                 (b)
(c)mgR            (d)2 mgR
                                                     (c)                 (d)
9.The ratio of the inertia mass to
gravitational mass is equal to                       14.The mass of moon is       of earth’s
(a)1/2       (b)1
                                                     mass and its radius is of that of the
(c)2        (d)no fixed number
10.A missile is launched with a                      earth .If the escape velocity from the
velocity less than the escape velocity               earth’s surface is 11.2km/s, is value
.The sum of its kinetic energy and                   for the moon is
potential energies is :                              (a)0.14 km/s             (b)0.5 km/s
(a)positive     (b)negative                          (c)2.5 km/s              (d)5.0 km/s
(c)zero                                              15.A satellite of moving in a circular
(d)may be positive or negative                       orbit around the earth. If
depending upon is initial velocity                   gravitational pull suddenly disappear,
11.The radius of the earth is 6400 km                then it
and g=10m/s².In order that a body of                 (a)continues to move with the same
5 kg weighs zero at the equator ,the                 speed along the same path
angular speed of the earth should be                 (b)moves with the same speed
                                                     tangential to the original orbit
(a) rad/s        (b)       rad/s
                                                     (c)falls down with increasing speed
(c)    rad       (d)        rad/s                    (d)comes to rest after moving a
12.A planet moves around the sun. At                 certain distance along the original
a point Pit is closest to the sun at a               path
distance and has a speed          .At                16.If the distance between the earth
another point Q, when it is farthest                 and the sun were half its present
from the sun at a distance ,It speed                 value, the number of days in a year
will be                                              would have been about
                                                     (a)64.5 (b)129 (c)182.5 (d)730
(a)            (b)
                                                     17.If the earth were at one-fourth its
 (c)           (d)                                   present distance from the sun ,the
                                                     duration of the year will be
13.Two planets have radii                            (a)half the present year
and densities         respectively                   (b)one –fourth the present year
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(c)one –sixth the present year                     (c)The time period of a satellite does
(d)one –eight the present year                     not depend on the radius of the orbit
18.A planet is moving in a elliptic                (d)The orbital velocity is inversely
orbit .If T,V,E and L stand                        proportional to the square root of the
respectively, for its kinetic energy,              radius of the orbit
gravitational potential energy ,total              22.The time period of an earth
energy and angular momentum about                  satellite close to the surface of the
the centre of force ,then                          earth is 8.3 minutes .The time period
(a)T is conserved                                  of another earth satellite in an orbit
(b)V is always positive                            at a distance of three earth radii from
(c)E is always negative                            its surface will be
(d)magnitude of L is conserved but                 (a)83 minutes           (b)83√ minutes
its direction changes continuously                 (c)664 minutes           (d)249minutes
19.If the mean radius of earth is R, its           23.The gravitational field due to a
angular velocity is , and the                      mass distribution is E=K/x in the x-
acceleration due to gravity at the                 direction ,where K is a constant
surface of the earth is g, then the                Taking at a distance x is
cube of the radius of the orbit of a               (a)K/x (b)K/2x (c)K/x² (d)K/2x
geostationary satellite will be                    24.Two satellites A and B go round a
(a)               (b)                              planet P in circular orbits having
(c)       /g     (d)R g/                           radii 4R and R respectively .If the
20.Two planes of radii               are           speed of A is 3 V, that of B will be
made of the same material. The ratio               (a)12 V (b)6V          (c) V   (d)
of the acceleration due to gravity at
                                                   25.If the value of g at the surface of
the surfaces of the two planet is
                                                   the earth is 9.8m/s²,then the value of
(a)               (b)
                                                   g at a place 480 km above the surface
(c)(             (d) (                             of the earth will be (radius of earth
21.Select the only correct statement               =6400 km)
from the following                                 (a)4.2 m/s²       (b)7.2m/s²
(a)The orbital velocity of a satellite             (c)8.5m/s²        (d)9.8m/s²
increase with the radius of the orbit              26. The average distance of two
(b)Escape velocity of a particle from              planets from the sun are in the ratio
the surface of the earth depends on                1:2.The time period of revolution are
the speed with which it is fired                   I approximately ratio
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(a)1:2      (b)1:2√      (c)1:4                    25% if its value at the earth’s surface
(d)1:8                                             is
27.The escape velocity from the                    (a)R/4 (b)R (c)3R/8 (d)R/2
surface of a planet is      m/s. If a
mass of 2 kg falls from infinity to the
surface of the planet, its kinetic
energy on reaching the surface will be
(a)    J, zero
(b)     J,       J
(c)0.5 x      J,0.5 x      J
(d) )    J, )    J
28.The gravitational force between
two points masses                  at a
separation r is given by F=k
.The constant K.
(a)depends only on the system of
unit
(b)depends only on the medium
between the masses
(c)depends on both
(d)in independent of both (a) and (b)
29.If a rocket is to be projected
vertically upwards from the surface
of the earth ,it requires an escape
velocity of 11 km/s .If the rocket is to
be projected at an angle of 60° with
the vertical, the escape velocity
required will be about
(a)5.5 km/s       (b)11√ km/s
(c)11km/s         (d)5.5 x√ km/s
30.If R is the radius of the earth
then the altitude at which the
acceleration due to gravity will be
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