AIEEE 2010 | Electrostatics Question 229 | Physics

A thin semi-circular ring of radius $$r$$ has a positive charges $$q$$ distributed uniformly over it. The net field $$\overrightarrow E $$ at the center $$O$$ is AIEEE 2010 Physics - Electrostatics Question 229 English

AIEEE 2010 Physics - Electrostatics Question 229 English

$${q \over {4{\pi ^2}{\varepsilon _0}{r^2}}}\,j$$

$$ - {q \over {4{\pi ^2}{\varepsilon _0}{r^2}}}\,j$$

$$ - {q \over {2{\pi ^2}{\varepsilon _0}{r^2}}}\,j$$

$$ {q \over {2{\pi ^2}{\varepsilon _0}{r^2}}}\,j$$

AIEEE 2010

MCQ (Single Correct Answer)

-1

Let there be a spherically symmetric charge distribution with charge density varying as $$\rho \left( r \right) = {\rho _0}\left( {{5 \over 4} - {r \over R}} \right)$$ upto $$r=R,$$ and $$\rho \left( r \right) = 0$$ for $$r>R,$$ where $$r$$ is the distance from the erigin. The electric field at a distance $$r\left( {r < R} \right)$$ from the origin is given by

$${{{\rho _0}r} \over {4{\varepsilon _0}}}\left( {{5 \over 3} - {r \over R}} \right)$$

$${{4\pi {\rho _0}r} \over {3{\varepsilon _0}}}\left( {{5 \over 3} - {r \over R}} \right)$$

$${{4{\rho _0}r} \over {4{\varepsilon _0}}}\left( {{5 \over 4} - {r \over R}} \right)$$

$${{{\rho _0}r} \over {3{\varepsilon _0}}}\left( {{5 \over 4} - {r \over R}} \right)$$

AIEEE 2009

MCQ (Single Correct Answer)

-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 :

$$9.60 \times {10^{ - 17}}J$$

$$ - 2.24 \times {10^{ - 16}}J$$

$$ 2.24 \times {10^{ - 16}}J$$

$$- 9.60 \times {10^{ - 17}}J$$

AIEEE 2009

MCQ (Single Correct Answer)

-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:

$$-1$$

$$1$$

$$ - {1 \over {\sqrt 2 }}$$

$$ - 2\sqrt 2 $$

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