## GRAVITATION QUIZ-10

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

•  -mv2/2
•  mv2/2
•   3mv2/2
•  mv2/4
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
•  4πG/3gR
•  3πR/4gG
•  3g/4πRG
•  πR/12G
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

•  5
•  10/R
•  10/2R
•  Zero

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?
•  r/v [v2 + 2GM/r](1/2)
•  vr[1 + 2GM/r]
•  r/v [v2 + 2GM/r]
•  2GMv/r
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
•  r3
•  r2
•  r2.5
•  r3.5
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
•  11.2 km s-1
•  8 km s-1
•  3.2 km s-1
•  1.414 X 8 km s-1
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?
•  R/2
•  √2 R
•  (√2 - 1)R
•  (√2 + 1)R
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?
•  vr/R
•  vR/r
•  v√(r/R)
•  v√(R/r)
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
•  h/2
•  h
•  2h
•  4h
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)
•  (1-k2)/R
•  R/(1-k2 )
•  R(1-k2)
• R/(1+k2) #### Written by: AUTHORNAME

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