1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
This question contains Statement - $$1$$ and Statement - $$2$$. of the four choices given after the statements, choose the one that best describes the two statements.

Statement - $$1$$:

For a mass $$M$$ kept at the center of a cube of side $$'a'$$, the flux of gravitational field passing through its sides $$4\,\pi \,GM.$$

Statement - 2:

If the direction of a field due to a point source is radial and its dependence on the distance $$'r'$$ from the source is given as $${1 \over {{r^2}}},$$ its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.
A
Statement - $$1$$ is false, Statement - $$2$$ is true
B
Statement - $$1$$ is true, Statement - $$2$$ is true; Statement - $$2$$ is a correct explanation for Statement - $$1$$
C
Statement - $$1$$ is true, Statement - $$2$$ is true; Statement - $$2$$ is not a correct explanation for Statement - $$1$$
D
Statement - $$1$$ is true, Statement - $$2$$ is false
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Consider a uniform square plate of side $$' a '$$ and mass $$'m'$$. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
A
$${5 \over 6}m{a^2}$$
B
$${1 \over 12}m{a^2}$$
C
$${7 \over 12}m{a^2}$$
D
$${2 \over 3}m{a^2}$$
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
An athlete in the olympic games covers a distance of $$100$$ $$m$$ in $$10$$ $$s.$$ His kinetic energy can be estimated to be in the range
A
$$200J-500J$$
B
$$2 \times {10^5}J - 3 \times {10^5}J$$
C
$$20,000J - 50,000J$$
D
$$2,000J - 5,000J$$
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A block of mass $$0.50$$ $$kg$$ is moving with a speed of $$2.00$$ $$m{s^{ - 1}}$$ on a smooth surface. It strike another mass of $$1.0$$ $$kg$$ and then they move together as a single body. The energy loss during the collision is :
A
$$0.16J$$
B
$$1.00J$$
C
$$0.67J$$
D
$$0.34$$ $$J$$
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