1
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

Consider a light ray travelling in air is incident into a medium of refractive index $$\sqrt{2n}$$. The incident angle is twice that of refracting angle. Then, the angle of incidence will be :

A
$${\sin ^{ - 1}}\left( {\sqrt n } \right)$$
B
$${\cos ^{ - 1}}\left( {\sqrt {{n \over 2}} } \right)$$
C
$${\sin ^{ - 1}}\left( {\sqrt {2n} } \right)$$
D
$$2{\cos ^{ - 1}}\left( {\sqrt {{n \over 2}} } \right)$$
2
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be :

(Given : relative permeability of medium $$\mu$$r = 1)

A
10$$^\circ$$
B
20$$^\circ$$
C
30$$^\circ$$
D
60$$^\circ$$
3
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

The difference of speed of light in the two media A and B (vA $$-$$ vB) is 2.6 $$\times$$ 107 m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuum c = 3 $$\times$$ 108 ms$$-$$1)

A
1.303
B
1.318
C
1.13
D
0.12
4
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($$\mu$$ = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?
A
11.7 cm
B
10 cm
C
7.5 cm
D
8.75 cm
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