GRAVITATION QUIZ-1
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. Figure shows a planet in an elliptical orbit around
the Sun S. Where is the kinetic energy of the planet
maximum?
Solution
Q2. The distance between the centre of the Moon and the
earth is D. The mass of the earth is 81 times the mass of the
Moon. At what distance from the centre of the earth, the
gravitational force will be zero?
Solution
Q3. Suppose, the acceleration due to gravity at the
earth's surface is 10 ms-2 and at the surface of
Mars is 4.0 m s-2. A 60 kg passenger goes from the
earth of Mars in a spaceship moving with a constant velocity.
Neglect all other objects in the sky. Which part of the figure
best represents the weight (net gravitational force) of the
passenger as a function of time?
Solution
Q4. The charge in the value of g at a height 'h' above the surface of earth is the same as at a depth 'd' below the earth. When both d and h are much smaller than the radius of earth, then which one of the following is correct?
Solution
Q5. The gravitational force between two objects is
proportional to 1/R (and not as 1/R2) where R is
separation between them, then a particle in circular orbit
under such a force would have its orbital speed v proportional
to
Solution
Q6. A skylab of mass m kg is first launched from the
surface of the earth in a circular orbit of radius 2R (from
the centre of the earth) and then it is shifted from this
circular orbit to another circular orbit of radius 3R. The
minimum energy required to place the lab in the first orbit
and to shift the lab from first orbit to the second orbit
are
Solution
Q7. A tunnel is dug along a diameter of the earth. If
Me and Re are the mass and radius,
respectively, of the earth, then the force on a particle of
mass m placed in the tunnel at a distance r from the centre is
Solution
Q8. A comet is in highly elliptical orbit around the
Sun. The period of the comet's orbit is 90 days. Some
statements are given are given regarding the collision between
the comet and the earth. Mark the correct statement. [Mass of
the Sun= 2×1030 kg, mean distance between the earth
and the Sun=1.5×1011 m]
Solution
Q9. Two planets have radii r1 and r2
and their densities are ρ_1 and ρ_2 respectively. The ratio of
acceleration due to gravity on them will be
Solution
Q10. A ball of mass m is fired vertically upwards from
the surface of the earth with velocity nve, where
ve is the escape velocity and n>1. To what
height will the ball rise? Neglecting air resistance, take
radius of the earth as R
Solution
