1
JEE Advanced 2023 Paper 2 Online
MCQ (Single Correct Answer)
+3
-1
Change Language
An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is $n$. The internal energy of one mole of the gas is $U_n$ and the speed of sound in the gas is $\mathrm{v}_n$. At a fixed temperature and pressure, which of the following is the correct option?
A
$v_3 < v_6$ and $U_3 > U_6$
B
$v_5 > v_3$ and $U_3 > U_5$
C
$v_5 > v_7$ and $U_5 < U_7$
D
$v_6 < v_7$ and $U_6 < U_7$
2
JEE Advanced 2023 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
A monochromatic light wave is incident normally on a glass slab of thickness $d$, as shown in the figure. The refractive index of the slab increases linearly from $n_1$ to $n_2$ over the height $h$. Which of the following statement(s) is(are) true about the light wave emerging out of the slab?

JEE Advanced 2023 Paper 2 Online Physics - Geometrical Optics Question 8 English
A
It will deflect up by an angle $\tan ^{-1}\left[\frac{\left(n_2^2-n_1^2\right) d}{2 h}\right]$.
B
It will deflect up by an angle $\tan ^{-1}\left[\frac{\left(n_2-n_1\right) d}{h}\right]$.
C
It will not deflect.
D
The deflection angle depends only on $\left(n_2-n_1\right)$ and not on the individual values of $n_1$ and $n_2$.
3
JEE Advanced 2023 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
An annular disk of mass $M$, inner radius $a$ and outer radius $b$ is placed on a horizontal surface with coefficient of friction $\mu$, as shown in the figure. At some time, an impulse $J_0 \hat{x}$ is applied at a height $h$ above the center of the disk. If $h=h_m$ then the disk rolls without slipping along the $x$-axis. Which of the following statement(s) is(are) correct?

JEE Advanced 2023 Paper 2 Online Physics - Rotational Motion Question 9 English
A
For $\mu \neq 0$ and $a \rightarrow 0, h_m=b / 2$.
B
For $\mu \neq 0$ and $a \rightarrow b, h_m=b$.
C
For $h=h_m$, the initial angular velocity does not depend on the inner radius $a$.
D
For $\mu=0$ and $h=0$, the wheel always slides without rolling.
4
JEE Advanced 2023 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by $\vec{E}=30(2 \hat{x}+\hat{y}) \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right] \mathrm{Vm}^{-1}$. Which of the following option(s) is(are) correct?

[Given: The speed of light in vacuum, $c=3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}$ ]
A
$B_x=-2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right] \mathrm{Wb} \mathrm{m}^{-2}$.
B
$B_y=2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right] \mathrm{Wb} \mathrm{m}^{-2}$.
C
The wave is polarized in the $x y$-plane with polarization angle $30^{\circ}$ with respect to the $x$-axis.
D
The refractive index of the medium is 2.
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