(1) Centre of gravity (C.G) of a body is the point at which the weight of the body acts
(2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct ?
A
(4) and (1)
B
(1) and (2)
C
(2) and (3)
D
(3) and (4)
2
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below
The correct figure is
A
(4)
B
(1)
C
(2)
D
(3)
3
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be
A
9.9 m
B
10.1 m
C
10 m
D
20 m
4
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be
