1
NEET 2013 (Karnataka)
MCQ (Single Correct Answer)
+4
-1
The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are
A
$$1:\sqrt 2 $$
B
3 : 2
C
2 : 1
D
$$\sqrt 2 :1$$
2
NEET 2013 (Karnataka)
MCQ (Single Correct Answer)
+4
-1
Two discs are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc D1 has 2 kg mass and 0.2 m radius and initial angular velocity of 50 rad s$$-$$1. Disc D2 has 4 kg mass, 0.1 m radius and initial angular velocity of 200 rad s$$-$$1. The two discs are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in rad s$$-$$1) of the system is
A
60
B
100
C
120
D
40
3
NEET 2013 (Karnataka)
MCQ (Single Correct Answer)
+4
-1
The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. VP and VE are escape velocities of the planet and the earth, respectively, then
A
VP = 1.5 VE
B
VP = 2 VE
C
VE = 3 VP
D
VE = 1.5 VP
4
NEET 2013 (Karnataka)
MCQ (Single Correct Answer)
+4
-1
A particle of mass 'm' is kept at rest at a height 3R from the surface of earth, where 'R' is radius of earth and 'M' is mass of earth. The minimum speed with which it should be projected , so that it does not return back, is
(g is acceleration due to gravity on the surface of earth)
A
$${\left( {{{GM} \over {2R}}} \right)^{1/2}}$$
B
$${\left( {{{gR} \over 4}} \right)^{1/2}}$$
C
$${\left( {{{2g} \over R}} \right)^{1/2}}$$
D
$${\left( {{{GM} \over R}} \right)^{1/2}}$$
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