1
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
$${{4GM} \over a}$$
2
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
$${{3V} \over 2}$$
3
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat Q in time t. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod, when placed in thermal contact with the two reservoirs in time t?
A
$${Q \over 4}$$
B
$${Q \over {16}}$$
C
2Q
D
$${Q \over 2}$$
4
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature TK is given by
A
$${{\sigma {r^2}{T^4}} \over {{R^2}}}$$
B
$${{\sigma {r^2}{T^4}} \over {4\pi {R^2}}}$$
C
$${{\sigma {r^2}{T^4}} \over {{R^4}}}$$
D
$${{4\pi \sigma {r^2}{T^4}} \over {{R^2}}}$$
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