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 6 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 $\mathrm{v}=4.10 \mathrm{~m} \mathrm{~s}^{-1}$
JEE Advanced Papers
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12