GRAVITATION QUIZ-10
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.A satellite moves around the earth in a circular orbit
with speed v. If m is the mass of the satellite, its total
energy is
Solution
Q2.If R is the radius of the earth and g the acceleration due
to gravity on the earth's surface, the mean density of the
earth is
Solution
Q3.The value of g (acceleration due to gravity) at earth's
surface is 10 ms-2. Its value in m s-2
at the centre of the earth which is assumed to be a sphere of
radius R meter and uniform mass density is
Solution
Q4.A space vehicle approaching a planet has a speed v, when it is very far from the planet. At that moment tangent of its tranjectory would miss the centre of the planet by distance R. If the planet has mass M and radius r, what is the smallest value of R in order that the resulting orbit of the space vehicle will just miss the surface of the planet?
Solution
Q5.Imagine a light planet revolving around a very massive
star in a circular orbit of radius r with a period of
revolution T. If the gravitational force of attraction between
the planet and the star is proportional to r5/2,
then the square of the time period will be proportional to
Solution
Q6.A space ship is launched into a circular orbit close to
the surface of the earth. The additional velocity now imparted
to the space-ship in the orbit to overcome the gravitational
pull is
Solution
Q7.A man weighs 80 kg on the surface of earth of radius R. At
what height above the surface of earth his weight will be 40
kg?
Solution
Q8.A planet is revolving around the Sun in an elliptical
orbit. Its closest distance from the Sun is r and farthest
distance is R. If the orbital velocity of the planet closest
to the Sun is v, then what is the velocity at the farthest
point?
Solution
Q9. A geostationary satellite orbits around the earth in a
circular orbit of radius 36000 km. Then, the time period of a
spy satellite orbiting a few 100 km above the earth's surface
(Rearth=6400 km) will approximately be
Solution
Q10.A projectile is fired vertically upwards from the surface
of the earth with a velocity kve where ve
is the escape velocity and k < 1. If R is the radius of the
earth, the maximum height to which it will rise measured from
the centre of earth will be (neglect air resistance)
Solution
