1
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
Two charged thin infinite plane sheets of
uniform surface charge density $${\sigma _ + }$$ and $${\sigma _ - }$$,
where |$${\sigma _ + }$$| > |$${\sigma _ - }$$|, intersect at right angle.
Which of the following best represents the
electric field lines for this system :
A
B
C
D
2
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
A two point charges 4q and -q are fixed on the x-axis at x = $$- {d \over 2}$$ and x = $${d \over 2}$$ respectively. If a third point charge 'q' is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the charge will :
A
increase by $${{3{q^2}} \over {4\pi {\varepsilon _0}d}}$$
B
increase by $${{2{q^2}} \over {3\pi {\varepsilon _0}d}}$$
C
decrease by $${{{q^2}} \over {4\pi {\varepsilon _0}d}}$$
D
decrease by $${{4{q^2}} \over {3\pi {\varepsilon _0}d}}$$
3
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R) – V(4R) is :
A
$${{3{Q_2}} \over {4\pi {\varepsilon _0}R}}$$
B
$${{3{Q_1}} \over {4\pi {\varepsilon _0}R}}$$
C
$${{3{Q_1}} \over {16\pi {\varepsilon _0}R}}$$
D
$${{{Q_2}} \over {4\pi {\varepsilon _0}R}}$$
4
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
Two isolated conducting spheres S1 and S2 of radius $${2 \over 3}R$$ and $${1 \over 3}R$$ have 12 $$\mu$$C and –3 $$\mu$$C charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S1 and S2 are respectively :
A
4.5 $$\mu$$C on both
B
+4.5 $$\mu$$C and –4.5 $$\mu$$C
C
6 $$\mu$$C and 3 $$\mu$$C
D
3 $$\mu$$C and 6 $$\mu$$C
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