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
Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer. AIEEE 2008 Physics - Current Electricity Question 302 English

The value of the unknown resister $$R$$ is

A
$$13.75\Omega $$
B
$$220\Omega $$
C
$$110\Omega $$
D
$$55\Omega $$
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A thin spherical shell of radius $$R$$ has charge $$Q$$ spread uniformly over its surface. Which of the following graphs most closely represents the electric field $$E(r)$$ produced by the shell in the range $$0 \le r < \infty ,$$ where $$r$$ is the distance from the center of the shell?
A
AIEEE 2008 Physics - Electrostatics Question 215 English Option 1
B
AIEEE 2008 Physics - Electrostatics Question 215 English Option 2c
C
AIEEE 2008 Physics - Electrostatics Question 215 English Option 3
D
AIEEE 2008 Physics - Electrostatics Question 215 English Option 4
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A parallel plate capacitor with air between the plates has capacitance of $$9$$ $$pF.$$ The separation between its plates is $$'d'.$$ The space between the plates has dielectric constant $${k_1}$$ $$=3$$ and thickness $${d \over 3}$$ while the other one has dielectric constant $${k_2} = 6$$ and thickness $${{2d} \over 3}$$. Capacitance of the capacitor is now
A
$$1.8$$ $$pF$$
B
$$45$$ $$pF$$
C
$$40.5$$ $$pF$$
D
$$20.25$$ $$pF$$
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