1
JEE Advanced 2023 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height $3 h$ from the ground, as shown in the figure. A spherical ball of mass $m$ is released on the slide from rest at a height $h$ from the top of the terrace. The ball leaves the slide with a velocity $\vec{u}_0=u_0 \hat{x}$ and falls on the ground at a distance $d$ from the building making an angle $\theta$ with the horizontal. It bounces off with a velocity $\vec{v}$ and reaches a maximum height $h_1$. The acceleration due to gravity is $g$ and the coefficient of restitution of the ground is $1 / \sqrt{3}$. Which of the following statement(s) is(are) correct?

JEE Advanced 2023 Paper 1 Online Physics - Impulse & Momentum Question 2 English
A
$\overrightarrow{\mathrm{u}}_0=\sqrt{2 g h} \hat{x}$
B
$\vec{v}=\sqrt{2 g h}(\hat{x}-\hat{z})$
C
$\theta=60^{\circ}$
D
$d / h_1=2 \sqrt{3}$
2
JEE Advanced 2023 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is $\delta=60^{\circ}$ (see Figure-1). The angle of minimum deviation for red light from the same prism is $\delta_{\min }=30^{\circ}$ (see Figure-2). The refractive index of the prism material for blue light is $\sqrt{3}$. Which of the following statement(s) is(are) correct?

JEE Advanced 2023 Paper 1 Online Physics - Geometrical Optics Question 7 English
A
The blue light is polarized in the plane of incidence.
B
The angle of the prism is $45^{\circ}$.
C
The refractive index of the material of the prism for red light is $\sqrt{2}$.
D
The angle of refraction for blue light in air at the exit plane of the prism is $60^{\circ}$.
3
JEE Advanced 2023 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of $1 \mathrm{~A}$ flows through the $1 \Omega$ resistor. The key is closed at time $t=t_0$. Which of the following statement(s) is(are) correct?

[Given: $e^{-1}=0.36$ ]

JEE Advanced 2023 Paper 1 Online Physics - Capacitor Question 3 English
A
The value of the resistance $R$ is $3 \Omega$.
B
For $t < t_0 $, the value of current $I_1$ is $2 \mathrm{~A}$.
C
At $t=t_0+7.2 \mu \mathrm{s}$, the current in the capacitor is $0.6 \mathrm{~A}$.
D
For $t \rightarrow \infty$, the charge on the capacitor is $12 \mu \mathrm{C}$.
4
JEE Advanced 2023 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Change Language
A bar of mass $M=1.00 \mathrm{~kg}$ and length $L=0.20 \mathrm{~m}$ is lying on a horizontal frictionless surface. One end of the bar is pivoted at a point about which it is free to rotate. A small mass $m=0.10 \mathrm{~kg}$ is moving on the same horizontal surface with $5.00 \mathrm{~m} \mathrm{~s}^{-1}$ speed on a path perpendicular to the bar. It hits the bar at a distance $L / 2$ from the pivoted end and returns back on the same path with speed v. After this elastic collision, the bar rotates with an angular velocity $\omega$.

Which of the following statement is correct?
A
$\omega=6.98 ~\mathrm{rad}~ \mathrm{s}^{-1}$ and $\mathrm{v}=4.30 \mathrm{~m} \mathrm{~s}^{-1}$
B
$\omega=3.75 ~\mathrm{rad} ~\mathrm{s}^{-1}$ and $\mathrm{v}=4.30 \mathrm{~m} \mathrm{~s}^{-1}$
C
$\omega=3.75 ~\mathrm{rad}~ \mathrm{s}^{-1}$ and $\mathrm{v}=10.0 \mathrm{~m} \mathrm{~s}^{-1}$
D
$\omega=6.80 ~\mathrm{rad} ~\mathrm{s}^{-1}$ and $\mathrm{v}=4.10 \mathrm{~m} \mathrm{~s}^{-1}$
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