1
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
Let $$P\left( r \right) = {Q \over {\pi {R^4}}}r$$ be the change density distribution for a solid sphere of radius $$R$$ and total charge $$Q$$. For a point $$'p'$$ inside the sphere at distance $${r_1}$$ from the center of the sphere, the magnitude of electric field is :
A
$${Q \over {4\pi \,{ \in _0}\,r_1^2}}$$
B
$${{Qr_1^2} \over {4\pi \,{ \in _0}\,{R^4}}}$$
C
$${{Qr_1^2} \over {3\pi \,{ \in _0}\,{R^4}}}$$
D
$$0$$
2
AIEEE 2009
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 charged particle moving from point $$P$$ to point $$Q$$, the net work done by an electrostatic field on the particle is independent of the path connecting point $$P$$ to point $$Q.$$
Statement-2 : The net work done by a conservative force on an object moving along a closed loop is zero.

A
Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
B
Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
C
Statement- 1 is false, Statement- 2 is true.
D
Statement- 1 true, Statement- 2 is false
3
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
A charge $$Q$$ is placed at each of the opposite corners of a square. A charge $$q$$ is placed at each of the other two corners. If the net electrical force on $$Q$$ is zero, then $$Q/q$$ equals:
A
$$-1$$
B
$$1$$
C
$$ - {1 \over {\sqrt 2 }}$$
D
$$ - 2\sqrt 2 $$
4
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
Two points $$P$$ and $$Q$$ are maintained at the potentials of $$10$$ $$V$$ and $$-4$$ $$V$$, respectively. The work done in moving $$100$$ electrons from $$P$$ to $$Q$$ is :
A
$$9.60 \times {10^{ - 17}}J$$
B
$$ - 2.24 \times {10^{ - 16}}J$$
C
$$ 2.24 \times {10^{ - 16}}J$$
D
$$- 9.60 \times {10^{ - 17}}J$$
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