1
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
2
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1

Given below are two statements :

Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive.

Statement II : An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.

Choose the correct answer from the options given below :

A
Both Statement I and Statement II are true.
B
Both Statement I and Statement II are false.
C
Statement I is true but Statement II is false.
D
Statement I is false but Statement II is true.
3
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1

The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner D of the square, is :

A
$${q \over {4\pi { \in _0}{a^2}}}\left( {{1 \over {\sqrt 2 }} + {1 \over 2}} \right)$$
B
$${q \over {4\pi { \in _0}{a^2}}}\left( {1 + {1 \over {\sqrt 2 }}} \right)$$
C
$${q \over {4\pi { \in _0}{a^2}}}\left( {1 - {1 \over {\sqrt 2 }}} \right)$$
D
$${q \over {4\pi { \in _0}{a^2}}}\left( {{1 \over {\sqrt 2 }} - {1 \over 2}} \right)$$
4
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be :

A
$${q \over {{ \in _0}}}$$
B
$${q \over {{ 2\in _0}}}$$
C
$${q \over {{ 4\in _0}}}$$
D
$${q \over {{ 2\pi\in _0}}}$$
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