1
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1

Given below are two statements :

Statement I : If the Brewster's angle for the light propagating from air to glass is $$\mathrm{\theta_B}$$, then the Brewster's angle for the light propagating from glass to air is $$\frac{\pi}{2}-\theta_B$$

Statement II : The Brewster's angle for the light propagating from glass to air is $${\tan ^{ - 1}}({\mu _\mathrm{g}})$$ where $$\mathrm{\mu_g}$$ is the refractive index of glass.

In the light of the above statements, choose the correct answer from the options given below :

A
Both Statement I and Statement II are false
B
Both Statement I and Statement II are true
C
Statement I is false but Statement II is true
D
Statement I is true but Statement II is false
2
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1

An unpolarised light beam of intensity $$2 I_{0}$$ is passed through a polaroid P and then through another polaroid Q which is oriented in such a way that its passing axis makes an angle of $$30^{\circ}$$ relative to that of P. The intensity of the emergent light is

A
$$\frac{\mathrm{I}_{0}}{4}$$
B
$$\frac{\mathrm{I}_{0}}{2}$$
C
$$\frac{3 I_{0}}{4}$$
D
$$\frac{3 \mathrm{I}_{0}}{2}$$
3
JEE Main 2022 (Online) 27th July Evening Shift
+4
-1

Two coherent sources of light interfere. The intensity ratio of two sources is $$1: 4$$. For this interference pattern if the value of $$\frac{I_{\max }+I_{\min }}{I_{\max }-I_{\min }}$$ is equal to $$\frac{2 \alpha+1}{\beta+3}$$, then $$\frac{\alpha}{\beta}$$ will be :

A
1.5
B
2
C
0.5
D
1
4
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

In Young's double slit experiment, the fringe width is $$12 \mathrm{~mm}$$. If the entire arrangement is placed in water of refractive index $$\frac{4}{3}$$, then the fringe width becomes (in mm):

A
16
B
9
C
48
D
12
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