1
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.
2
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
$${q \over {4\pi { \in _0}{a^2}}}\left( {{1 \over {\sqrt 2 }} - {1 \over 2}} \right)$$
3
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
$${q \over {{ 2\pi\in _0}}}$$
4
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as shown in figure). They form an equilateral triangle of side 1m.

The ratio of net force on a charged ball to the force between any two charged balls will be :

A
1 : 1
B
1 : 4
C
$$\sqrt3$$ : 2
D
$$\sqrt3$$ : 1
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Modern Physics
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