1
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
A particle of charge q and mass m is subjected to an electric field
E = E0 (1 – $$a$$x2) in the x-direction, where $$a$$ and E0 are constants. Initially the particle was at rest at x = 0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is :
A
$$a$$
B
$$\sqrt {{2 \over a}}$$
C
$$\sqrt {{3 \over a}}$$
D
$$\sqrt {{1 \over a}}$$
2
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
3
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 $${{4{q^2}} \over {3\pi {\varepsilon _0}d}}$$
4
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
$${{{Q_2}} \over {4\pi {\varepsilon _0}R}}$$
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