1
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
An infinitely long thin non-conducting wire is parallel to the $$z$$-axis and carries a uniform line charge density $$\lambda .$$ It pierces a thin non-conducting spherical shell of radius $$R$$ in such a way that the arc $$PQ$$ subtends an angle $${120^ \circ }$$ at the center $$O$$ of the spherical shell, as shown in the figure. The permittivity of free space is $${ \in _0}.$$ Which of the following statement is (are) true?

A
The electric flux through the shell is $$\sqrt 3 R\lambda /{ \in _0}$$
B
The $$z$$-component of the electric field is zero at all the points on the surface of the shell
C
The electric flux through the shell is $$\sqrt 2 R\lambda /{ \in _0}$$
D
The electric field is normal to the surface of the shell at all points
2
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
A point charge $$+Q$$ is placed just outside an imaginary hemispherical surface of radius $$R$$ as shown in the figure. Which of the following statements is/are correct?

A
The electric flux passing through the curved surface of the hemisphere is

$$- {Q \over {2{\varepsilon _0}}}$$ $$\left( {1 - {1 \over {\sqrt 2 }}} \right)$$
B
Total flux through the curved and the flat surfaces is $${Q \over {{\varepsilon _0}}}$$
C
The component of the electric field normal to the flat surface is constant over the surface
D
The circumference of the flat surface is an equipotential
3
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
Consider a uniform spherical charge distribution of radius $${R_1}$$ centred at the origin $$O.$$ In this distribution, a spherical cavity of radius $${R_2},$$ centred at $$P$$ with distance $$OP=a$$ $$= {R_1} - {R_2}$$ (see figure) is made. If the electric field inside the cavity at position $$\overrightarrow r$$ is $$\overrightarrow E \overrightarrow {\left( r \right)} ,$$ then the correct statement(s) is (are)

A
$$\overrightarrow E$$ is uniform, its magnitude is independent of $${R_2}$$ but its direction depends on $$\overrightarrow r .$$
B
$$\overrightarrow E$$ is uniform, its magnitude depends on $${R_2}$$ and its direction depends on $$\overrightarrow r .$$
C
$$\overrightarrow E$$ is uniform, its magnitude is independent of a but its direction depends on $$\overrightarrow a$$
D
$$\overrightarrow E$$ is uniform and both its magnitude and direction depend on $$\overrightarrow a$$
4
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density $$\lambda$$ are kept parallel to each other. In their resulting electric field, point charges $$q$$ and $$-q$$ are kept in equilibrium between them. The point charges are confined to move in the $$x$$ direction only. If they are given a small displacement about their equilibrium positions, then the correct statement(s) is (are)
A
Both charges execute simple harmonic motion
B
Both charges will continue moving in the direction of their displacement
C
Charge $$+q$$ executes simple harmonic motion while charge $$-q$$ continues moving in the direction of its displacement
D
Charge $$-q$$ executes simple harmonic motion while charge $$+q$$ continues moving in the direction of its displacement
EXAM MAP
Medical
NEET