GRAVITATION QUIZ-11
Dear Readers,
JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get
a detailed list of all topics that are important in cracking the entrance
examination. JEE Advanced syllabus for Physics has been designed in such a
way that it offers very practical and application-based learning to
further make it easier for students to understand every concept or topic
by correlating it with day-to-day experiences. In comparison to the other
two subjects, the syllabus of JEE Advanced for physics is developed in
such a way so as to test the deep understanding and application of
concepts.
Gravitation is an easy to understand and a highly scoring topic. It
might have a 1% weightage in the entire JEE Physics portion but do not
neglect. You can practice these questions on regular basis to know what
are the important points to remember at the moment when
gravitation question comes.
Q1.If the radius of the earth were to shrink by one per cent,
its mass remaining the same, acceleration due to gravity on
the earth's surface would
Solution
Q2.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
Solution
Q3.A body is released from a point of distance R'
from the centre of earth. Its velocity at the time of striking
the earth will be (R'>Re)
Solution
Q4.If three particles, each of mass M, are placed at the three corners of an equilateral triangle of side a, the forces exerted by this system on another particles of mass M placed (i) at the midpoint of a side and (ii) at the centre of the triangle are, respectively,
Solution
Q5.An artificial satellite of the earth is launched in
circular orbit in the equatorial plane of the earth and the
satellite is moving from west to east. With respect to a
person on the equator, the satellite is completing one round
trip in 24 h. Mass of the earth is M=6×1024 kg. For
this situation, the orbital radius of the satellite is
Solution
Q6.How many hours would make a day if the earth were rotating
at such a high speed that the weight of a body on the equator
were zero
Solution
Q7.A point mass m is released from rest at a distance of 3R
from the centre of a thin-walled hollow sphere of radius R and
mass M as show. The hollow sphere is fixed in position and the
only force on the point mass is the gravitational attraction
of the hollow sphere. There is a very small hole in the hollow
sphere through which the point mass falls as shown. The
velocity of a point mass when it passes through point P at a
distance R/2 from the centre of the sphere is
Solution
Q8.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 time periods of masses mA and mB
respectively, then
Solution
Q9. A tunnel has been dug into a solid sphere of non-uniform
mass density as shown in the figure As one moves from A to B,
the magnitude of gravitational field intensity
Solution
Q10.The distance of two planets from the Sun are 1013
and 1012m, respectively. The ratio of time periods
of these two planets is
Solution
