GRAVITATION QUIZ-7
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 g is same at a height h and at a depth d, then
Solution
Q2.Suppose the gravitational force varies inversely as the
n^th power of the distance. Then, the time period of a planet
in a circular orbit of radius R around the Sun will be
proportional to
Solution
Q3.Two satellites A and B of the same mass are revolving
around the earth in the concentric circular orbits such that
the distance of satellite B from the centre of the earth is
thrice as compared to the distance of the satellite A from the
centre of the earth. The ratio of the centripetal force acting
on B as compared to that on A is
Solution
Q4.A planet is revolving in an elliptical orbit around the
Sun. Its closest distance from the Sun is rmin and
the farthest distance is rmax. If the velocity of
the planet at the distance of the closest approach is v1
and that at the farthest distance from the Sun is
v2, then v1/v2
Solution
Q5.A simple pendulum has a time period T1 when on
the earth's surface and T2 when taken to a height R
above the earth's surface, where R is the radius of the earth.
The value of T2/T1 is
Solution
Q6.A diameter tunnel is dug across the earth. A ball is
dropped into the tunnel from one side. The velocity of the
ball when it reaches the centre of the earth is [Given:
gravitational potential at the centre of earth =-3/(2 GM/R)]
Solution
Q7.In order to shift a body of mass m from a circular orbit
of radius 3R to a higher orbit of rdaius 5R around the earth,
the work done is
Solution
Q8.In problem 83, what is the gravitational potential at any
point on the circle x2+z2=6?
Solution
Q9.A cavity of radius R/2 is made inside a solid sphere of
radius R. The centre of the cavity is located at a distance
R/2 from the centre of the sphere. The gravitational force on
a particle of mass 'm' at a distance R/2 from the centre of
the sphere on the line joining both the centres of the sphere
and the cavity is (opposite to the centre of the cavity) [Here
g=(GM)/R2, where M is the mass of the sphere]
Solution
Q10.In problem 80, if x is the distance from the common
centre, then what is the gravitational potential at a point
for which r x< R?
Solution
