1
JEE Main 2024 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II

List I List II
(A) Gauss's law of magnetostatics (I) $$\oint \vec{E} \cdot \vec{d} a=\frac{1}{\varepsilon_0} \int \rho d V$$
(B) Faraday's law of electro magnetic induction (II) $$\oint \vec{B} \cdot \vec{d} a=0$$
(C) Ampere's law (III) $$\int \vec{E} \cdot \vec{d} l=\frac{-d}{d t} \int \vec{B} \cdot \vec{d} a$$
(D) Gauss's law of electrostatics (IV) $$\oint \vec{B} \cdot \vec{d} l=\mu_0 I$$

Choose the correct answer from the options given below:

A
A-III, B-IV, C-I, D-II
B
A-IV, B-II, C-III, D-I
C
A-II, B-III, C-IV, D-I
D
A-I, B-III, C-IV, D-II
2
JEE Main 2024 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II

List - I List - II
(A) $$\oint \vec{B} \cdot \overrightarrow{d l}=\mu_o i_c+\mu_o \varepsilon_o \frac{d \phi_E}{d t}$$ (I) Gauss' law for electricity
(B) $$\oint \vec{E} \cdot \overrightarrow{d l}=\frac{d \phi_B}{d t}$$ (II) Gauss' law for magnetism
(C) $$\oint \vec{E} \cdot \overrightarrow{d A}=\frac{Q}{\varepsilon_o}$$ (III) Faraday law
(D) $$\oint \vec{B} \cdot \overrightarrow{d A}=0$$ (IV) Ampere - Maxwell law

Choose the correct answer from the options given below:

A
A-IV, B-III, C-I, D-II
B
A-I, B-II, C-III, D-IV
C
A-IV, B-I, C-III, D-II
D
A-II, B-III, C-I, D-IV
3
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A rectangular loop of length $$2.5 \mathrm{~m}$$ and width $$2 \mathrm{~m}$$ is placed at $$60^{\circ}$$ to a magnetic field of $$4 \mathrm{~T}$$. The loop is removed from the field in $$10 \mathrm{~sec}$$. The average emf induced in the loop during this time is

A
$$-2 \mathrm{~V}$$
B
$$+2 \mathrm{~V}$$
C
$$+1 \mathrm{~V}$$
D
$$-1 \mathrm{~V}$$
4
JEE Main 2023 (Online) 15th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
$12 \mathrm{~V}$ battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in the circuit. The switch is opened in $1 \mathrm{~ms}$. The emf induced across the coil is $20 \mathrm{~V}$. The inductance of the coil is :
A
$5 ~ \mathrm{mH}$
B
$8 ~\mathrm{mH}$
C
$10~ \mathrm{mH}$
D
$12 ~\mathrm{mH}$
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