1
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1 '$$n$$' polarizing sheets are arranged such that each makes an angle $$45^{\circ}$$ with the preceeding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be $$I / 64$$. The value of $$n$$ will be:

A
4
B
5
C
3
D
6
2
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1 A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then the microscope has to be raised by $30 \mathrm{~cm}$ to focus the object again. The height of the liquid in the bucket is :
A
$50 \mathrm{~cm}$
B
$18 \mathrm{~cm}$
C
$75 \mathrm{~cm}$
D
$12 \mathrm{~cm}$
3
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1 Two polaroide $$\mathrm{A}$$ and $$\mathrm{B}$$ are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid $$\mathrm{C}$$ is placed between $$\mathrm{A}$$ and $$\mathrm{B}$$ bisecting angle between them. If intensity of unpolarized light is $$\mathrm{I}_{0}$$ then intensity of transmitted light after passing through polaroid $$\mathrm{B}$$ will be:

A
$$\frac{I_{0}}{4}$$
B
$$\frac{I_{0}}{8}$$
C
Zero
D
$$\frac{I_{0}}{2}$$
4
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1 A thin prism $P_1$ with an angle $6^{\circ}$ and made of glass of refractive index $1.54$ is combined with another prism $P_2$ made from glass of refractive index $1.72$ to produce dispersion without average deviation. The angle of prism $P_2$ is

A
$4.5^{\circ}$
B
$7.8^{\circ}$
C
$1.3^{\circ}$
D
$6^{\circ}$
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