1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Consider a block of conducting material of resistivity $$'\rho '$$ shown in the figure. Current $$'I'$$ enters at $$'A'$$ and leaves from $$'D'$$. We apply superposition principle to find voltage $$'\Delta V'$$ developed between $$'B'$$ and $$'C'$$. The calculation is done in the following steps:
(i) Take current $$'I'$$ entering from $$'A'$$ and assume it to spread over a hemispherical surface in the block.
(ii) Calculate field $$E(r)$$ at distance $$'r'$$ from A by using Ohm's law $$E = \rho j,$$ where $$j$$ is the current per unit area at $$'r'$$.
(iii) From the $$'r'$$ dependence of $$E(r)$$, obtain the potential $$V(r)$$ at $$r$$.
(iv) Repeat (i), (ii) and (iii) for current $$'I'$$ leaving $$'D'$$ and superpose results for $$'A'$$ and $$'D'.$$ AIEEE 2008 Physics - Current Electricity Question 300 English

For current entering at $$A,$$ the electric field at a distance $$'r'$$ from $$A$$ is

A
$${{\rho I} \over {8\pi {r^2}}}$$
B
$${{\rho I} \over {{r^2}}}$$
C
$${{\rho I} \over {2\pi {r^2}}}$$
D
$${{\rho I} \over {4\pi {r^2}}}$$
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
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
$$55\Omega $$
4
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
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