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
A planet in a distant solar system is $$10$$ times more massive than the earth and its radius is $$10$$ times smaller. Given that the escape velocity from the earth is $$11\,\,km\,{s^{ - 1}},$$ the escape velocity from the surface of the planet would be
A
$$1.1\,\,km\,{s^{ - 1}}$$
B
$$100\,\,km\,{s^{ - 1}}$$
C
$$110\,\,km\,{s^{ - 1}}$$
D
$$0.11\,\,km\,{s^{ - 1}}$$
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A spherical solid ball of volume $$V$$ is made of a material of density $${\rho _1}$$. It is falling through a liquid of density $${\rho _2}\left( {{\rho _2} < {\rho _1}} \right)$$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $$v,$$ i.e., $${F_{viscous}} = - k{v^2}\left( {k > 0} \right).$$ The terminal speed of the ball is
A
$$\sqrt {{{Vg\left( {{\rho _1} - {\rho _2}} \right)} \over k}} $$
B
$${{{Vg{\rho _1}} \over k}}$$
C
$$\sqrt {{{Vg{\rho _1}} \over k}} $$
D
$${{Vg\left( {{\rho _1} - {\rho _2}} \right)} \over k}$$
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The speed of sound in oxygen $$\left( {{O_2}} \right)$$ at a certain temperature is $$460\,\,m{s^{ - 1}}.$$ The speed of sound in helium $$(He)$$ at the same temperature will be (assume both gases to be ideal)
A
$$1421\,\,m{s^{ - 1}}$$
B
$$500\,\,m{s^{ - 1}}$$
C
$$650\,\,m{s^{ - 1}}$$
D
$$300\,\,m{s^{ - 1}}$$
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