1
JEE Main 2024 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A coil is places perpendicular to a magnetic field of $$5000 \mathrm{~T}$$. When the field is changed to $$3000 \mathrm{~T}$$ in $$2 \mathrm{~s}$$, an induced emf of $$22 \mathrm{~V}$$ is produced in the coil. If the diameter of the coil is $$0.02 \mathrm{~m}$$, then the number of turns in the coil is:

A
35
B
70
C
7
D
140
2
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
3
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
4
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
$$-1 \mathrm{~V}$$
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