1
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1 Match List I with List II

List I List II
A. Gauss's Law in Electrostatics I. $$\oint {\overrightarrow E \,.\,d\overrightarrow l = - {{d{\phi _B}} \over {dt}}}$$
B. Faraday's Law II. $$\oint {\overrightarrow B \,.\,d\overrightarrow A = 0}$$
C. Gauss's Law in Magnetism III. $$\oint {\overrightarrow B \,.\,d\overrightarrow l = {\mu _0}{i_c} + {\mu _0}{ \in _0}{{d{\phi _E}} \over {dt}}}$$
D. Ampere-Maxwell Law IV. $$\oint {\overrightarrow E \,.\,d\overrightarrow s = {q \over {{ \in _0}}}}$$

Choose the correct answer from the options given below :

A
A-I, B-II, C-III, D-IV
B
A-III, B-IV, C-I, D-II
C
A-IV, B-I, C-II, D-III
D
A-II, B-III, C-IV, D-I
2
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1 An electromagnetic wave is transporting energy in the negative $$z$$ direction. At a certain point and certain time the direction of electric field of the wave is along positive $$y$$ direction. What will be the direction of the magnetic field of the wave at that point and instant?

A
Negative direction of $$y$$
B
Positive direction of $$z$$
C
Positive direction of $$x$$
D
Negative direction $$x$$
3
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1 The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by

$$\mathrm{{E_x} = {E_o}\sin (kz - \omega t)}$$

$$\mathrm{{B_y} = {B_o}\sin (kz - \omega t)}$$

Then the correct relation between E$$_0$$ and B$$_0$$ is given by

A
$$\mathrm{{E_o}{B_o} = \omega k}$$
B
$$\mathrm{{E_0} = k{B_0}}$$
C
$$\mathrm{k{E_0} = \omega {B_0}}$$
D
$$\mathrm{\omega {E_0} = k{B_0}}$$
4
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1 In $$\overrightarrow E$$ and $$\overrightarrow K$$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by :

($$\omega$$ - angular frequency) :

A
$${1 \over \omega }\left( {\overline K \times \overline E } \right)$$
B
$$\overline K \times \overline E$$
C
$$\omega \left( {\overline K \times \overline E } \right)$$
D
$$\omega \left( {\overline E \times \overline K } \right)$$
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