1
AIPMT 2014
+4
-1
Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by
A
B
C
D
2
AIPMT 2014
+4
-1
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 $$\times$$ 1024 kg) have to be compressed to be a black hole?
A
10$$-$$9 m
B
10$$-$$6 m
C
10$$-$$2 m
D
100 m
3
NEET 2013 (Karnataka)
+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
$${\left( {{{GM} \over R}} \right)^{1/2}}$$
4
NEET 2013 (Karnataka)
+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
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