1
AIPMT 2011 Mains
+4
-1
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
A
$$\sqrt {{{2GM} \over {{R^2}}}}$$
B
$$\sqrt {{{2GM} \over R}}$$
C
$$\sqrt {{{2gM} \over {{R^2}}}}$$
D
$$\sqrt {2g{R^2}}$$
2
AIPMT 2011 Mains
+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
$${{4GM} \over a}$$
3
AIPMT 2011 Mains
+4
-1
A mass of diatomic gas $$(\gamma = 1.4)$$ at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27oC to 927oC. The pressure of the gas in the final state is
A
8 atm
B
28 atm
C
68.7 atm
D
256 atm
4
AIPMT 2011 Mains
+4
-1
Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
A
$${\pi \over 6}$$
B
0
C
$${{2\pi } \over 3}$$
D
$$\pi$$
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