1
JEE Advanced 2019 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
A charged shell of radius R carries a total charge Q. Given $$\phi $$ as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct?

[$$ \in $$0 is the permittivity of free space]
A
If h > 2R and r = 4R / 5 then $$\phi $$ = Q / 5 $$ \in $$0
B
If h > 2R and r = 3R / 5 then $$\phi $$ = Q / 5 $$ \in $$0
C
If h > 8R /5 and r = 3R / 5 then $$\phi $$ = 0
D
If h > 2R and r = R then $$\phi $$ = Q / $$ \in $$0
2
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
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?

JEE Advanced 2018 Paper 2 Offline Physics - Electrostatics Question 42 English
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
3
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
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?

JEE Advanced 2017 Paper 2 Offline Physics - Electrostatics Question 39 English
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
4
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)

JEE Advanced 2015 Paper 2 Offline Physics - Electrostatics Question 43 English
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 $$\overrightarrow a $$
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