1
JEE Advanced 2024 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2

A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is $9 \mathrm{~cm}$, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index $n$ up to the level QPR. If the image of a point object $\mathrm{O}$ at a height of $h$ (OT in the figure) is formed onto itself, then, which of the following option(s) is(are) correct?

A
For $n=1.42, h=50 \mathrm{~cm}$.
B
For $n=1.35, h=36 \mathrm{~cm}$.
C
For $n=1.45, h=65 \mathrm{~cm}$.
D
For $n=1.48, h=85 \mathrm{~cm}$.
2
JEE Advanced 2023 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
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?

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 1 Online
MCQ (More than One Correct Answer)
+4
-2
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?

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 $60^{\circ}$.
4
JEE Advanced 2022 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2

Three plane mirrors form an equilateral triangle with each side of length $L$. There is a small hole at a distance $l>0$ from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle $\theta$ and can only come out through the same hole. The cross section of the mirror configuration and the ray of light lie on the same plane.

Which of the following statement(s) is(are) correct?

A
The ray of light will come out for $\theta=30^{\circ}$, for $0< l < L$.
B
There is an angle for $l=\frac{L}{2}$ at which the ray of light will come out after two reflections.
C
The ray of light will NEVER come out for $\theta=60^{\circ}$, and $l=\frac{L}{3}$.
D
The ray of light will come out for $\theta=60^{\circ}$, and $0 < l < \frac{L}{2}$ after six reflections.
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