1
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 $$\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$$
2
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
3
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
A
$${{3V} \over 4}$$
B
6$$V$$
C
12$$V$$
D
$${{3V} \over 2}$$
4
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :
A
$${{GM} \over a}$$
B
$${{2GM} \over a}$$
C
$${{3GM} \over a}$$
D
$${{4GM} \over a}$$
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