1
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1 Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is :

A
x = d
B
$$x = {d \over 2}$$
C
$$x = {d \over {\sqrt 2 }}$$
D
$$x = {d \over {2\sqrt 2 }}$$
2
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1 If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :

A
3 Vm$$-$$1, directed along positive x-axis.
B
3 Vm$$-$$1, directed along negative x-axis.
C
6 Vm$$-$$1, directed along positive x-axis.
D
6 Vm$$-$$1, directed along negative x-axis.
3
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1 A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $$\times$$ 105 NC$$-$$1. If the charge on the particle is 40 $$\mu$$C and the initial velocity is 200 ms$$-$$1, how much distance it will travel before coming to the rest momentarily :

A
1 m
B
5 m
C
10 m
D
0.5 m
4
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1 Two point charges A and B of magnitude +8 $$\times$$ 10$$-$$6 C and $$-$$8 $$\times$$ 10$$-$$6 C respectively are placed at a distance d apart. The electric field at the middle point O between the charges is 6.4 $$\times$$ 104 NC$$-$$1. The distance 'd' between the point charges A and B is :

A
2.0 m
B
3.0 m
C
1.0 m
D
4.0 m
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