1
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity $$\omega $$. Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by
A
$${{\left( {M + 2m} \right)\omega } \over {2m}}$$
B
$${{2M\omega } \over {M + 2m}}$$
C
$${{\left( {M + 2m} \right)\omega } \over M}$$
D
$${{M\omega } \over {M + 2m}}$$
2
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is
A
GmM $$\left( {{1 \over {R_1^2}} - {1 \over {R_2^2}}} \right)$$
B
GmM $$\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$$
C
2GmM $$\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$$
D
$${1 \over 2}$$GmM $$\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$$
3
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
(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)
4
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

AIPMT 2010 Mains Physics - Gravitation Question 30 English

The correct figure is
A
(4)
B
(1)
C
(2)
D
(3)
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