Medical Sample papers

# Gravitation Problems ## Gravitation Practice Paper

 Question 1
Mass M is divided into two parts xM and (1 – x)M. For a given separation, the value of x for which the gravitational attraction between the two pieces becomes maximum is
 A 1 B 1/2 C 2 D 3/5
 Question 2
At what height over the earth's pole, the free fall acceleration decreases by one percent (assume the radius of earth to be 6400 km)
 A 80 km B 32 km C 64 km D 1.253 km
 Question 3
Hubble's law states that the velocity with which milky way is moving away from the earth is proportional to
 A Mass of the milky way B Distance of milky way from the earth C Product of the mass of the milky way and its distance from the earth D Square of the distance of the milky way from the earth
 Question 4
Gravitational mass is proportional to gravitational
 A All of these B Field C Force D Intensity
 Question 5
A mass M is split into two parts, m and (M–m), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts
 A 1/3 B 1/5 C 1/2 D 1/4
 Question 6
If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been
 A 182.5 B 730 C 129 D 64.5
 Question 7
If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect
 A Electrostatic force B Archimedes uplift C Viscous forces D None of these
 Question 8
A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be
 A ¼ mgR B 2 mgR C ½ mgR D mgR
 Question 9
Weightlessness experienced while orbiting the earth in space-ship, is the result of
 A Zero gravity B Free fall towards earth C Inertia D Acceleration
 Question 10
At what height from the ground will the value of ‘g’ be the same as that in 10 km deep mine below the surface of earth
 A 20 km B 5 km C 10 km D 15 km
 Question 11
A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is
 A R/4 B R/3 C R/2 D R/5
 Question 12
A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately
 A 1.5% B 1.0% C 0.5% D 3.0%
 Question 13
Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to 1/4th of the present distance then the present day length reduced by
 A 1/6 B 1/4 C 1/2 D 1/8
 Question 14
The radius and mass of earth are increased by 0.5%. Which of the following statements are true at the surface of the earth
 A Potential energy will remain unchanged B Escape velocity will remain unchanged C g will increase D g will decrease
 Question 15
If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would
 A Remain unchanged B Decrease by 2% C Increase by 1% D Increase by 2%
 Question 16
If the earth stops rotating, the value of ‘g’ at the equator will
 A Remain same B None of these C Increase D Decrease
 Question 17
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of earth
 A The total mechanical energy of S varies periodically with time B The angular momentum of S about the centre of the earth changes in direction but its magnitude remains constant C The acceleration of S is always directed towards the centre of the earth D The linear momentum of S remains constant in magnitude
 Question 18
A rocket is launched with velocity 10 km/s. If radius of earth is R, then maximum height attained by it will be
 A 3R B 5R C 4R D 2R
 Question 19
A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth's surface, the weight indicated by the balance
 A Will go on increasing continuously B Will go on decreasing continuously C Will first increase and then decrease D Will remain same
 Question 20
A geostationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then, the time period of a satellite orbiting a few hundred kilometres above the earth’s surface (REarth = 6400 km) will approximately be
 A 1 h B 1/2 h C 2 h D 4 h
There are 20 questions to complete. 