1
JEE Advanced 2024 Paper 2 Online
MCQ (Single Correct Answer)
+3
-1

A region in the form of an equilateral triangle (in $x-y$ plane) of height $L$ has a uniform magnetic field $\vec{B}$ pointing in the $+z$-direction. A conducting loop $\mathrm{PQR}$, in the form of an equilateral triangle of the same height $L$, is placed in the $x-y$ plane with its vertex $\mathrm{P}$ at $x=0$ in the orientation shown in the figure. At $t=0$, the loop starts entering the region of the magnetic field with a uniform velocity $\vec{v}$ along the $+x$-direction. The plane of the loop and its orientation remain unchanged throughout its motion.

Which of the following graph best depicts the variation of the induced emf $(E)$ in the loop as a function of the distance $(x)$ starting from $x=0$ ?

A
B
C
D
2
JEE Advanced 2023 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
A thin conducting rod $M N$ of mass $20 ~\mathrm{gm}$, length $25 \mathrm{~cm}$ and resistance $10 ~\Omega$ is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field $B_0=4 \mathrm{~T}$ directed perpendicular to the plane of the rod-rail arrangement. The rod is released from rest at time $t=0$ and it moves down along the rails. Assume air drag is negligible. Match each quantity in List-I with an appropriate value from List-II, and choose the correct option.

[Given: The acceleration due to gravity $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ and $e^{-1}=0.4$ ]

List - I List - II
(P) At $t=0.2 \mathrm{~s}$, the magnitude of the induced emf in Volt (1) 0.07
(Q) At $t=0.2 \mathrm{~s}$, the magnitude of the magnetic force in Newton (2) 0.14
(R) At $t=0.2 \mathrm{~s}$, the power dissipated as heat in Watt (3) 1.20
(S) The magnitude of terminal velocity of the rod in $\mathrm{m} \mathrm{s}^{-1}$ (4) 0.12
(5) 2.00
A
$P \rightarrow 5, Q \rightarrow 2, R \rightarrow 3, S \rightarrow 1$
B
$P \rightarrow 3, Q \rightarrow 1, R \rightarrow 4, S \rightarrow 5$
C
$P \rightarrow 4, Q \rightarrow 3, R \rightarrow 1, S \rightarrow 2$
D
$P \rightarrow 3, Q \rightarrow 4, R \rightarrow 2, S \rightarrow 5$
3
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. The magnitude of the field increases with time. $$I_1$$ and $$I_2$$ are the currents in the segments ab and cd. Then,

A
$$I_1 > I_2$$
B
$$I_1 < I_2$$
C
$$I_1$$ is in the direction ba and $$I_2$$ is in the direction cd.
D
$$I_1$$ is in the direction ab and $$I_2$$ is in the direction dc.
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