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JEE Advanced 2023 Paper 1 Online
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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
$P \rightarrow 3, Q \rightarrow 4, R \rightarrow 2, S \rightarrow 5$
EXAM MAP
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