1
AIEEE 2011
+4
-1
Let $$x$$-$$z$$ plane be the boundary between two transparent media. Medium $$1$$ in $$z \ge 0$$ has a refractive index of $$\sqrt 2$$ and medium $$2$$ with $$z < 0$$ has a refractive index of $$\sqrt 3 .$$ A ray of light in medium $$1$$ given by the vector $$\overrightarrow A = 6\sqrt 3 \widehat i + 8\sqrt 3 \widehat j - 10\widehat k$$ is incident on the plane of separation. The angle of refraction in medium $$2$$ is:
A
$${45^ \circ }$$
B
$${60^ \circ }$$
C
$${75^ \circ }$$
D
$${30^ \circ }$$
2
AIEEE 2011
+4
-1
A car is fitted with a convex side-view mirror of focal length $$20$$ $$cm$$. A second car $$2.8m$$ behind the first car is overtaking the first car at a relative speed of $$15$$ $$m/s$$. The speed of the image of the second car as seen in the mirror of the first one is :
A
$${1 \over {15}}\,m/s$$
B
$$10\,m/s$$
C
$$15\,m/s$$
D
$${1 \over {10}}\,m/s$$
3
AIEEE 2010
+4
-1
An initially parallel cylindrical beam travels in a medium of refractive index $$\mu \left( I \right) = {\mu _0} + {\mu _2}\,I,$$ where $${\mu _0}$$ and $${\mu _2}$$ are positive constants and $$I$$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.

As the beam enters the medium, it will

A
diverge
B
converge
C
diverge near the axis and converge near the periphery
D
travel as a cylindrical beam
4
AIEEE 2010
+4
-1
An initially parallel cylindrical beam travels in a medium of refractive index $$\mu \left( I \right) = {\mu _0} + {\mu _2}\,I,$$ where $${\mu _0}$$ and $${\mu _2}$$ are positive constants and $$I$$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.

The speed of light in the medium is

A
minimum on the axis of the beam
B
the same everywhere in the beam
C
directly proportional to the intensity $$I$$
D
maximum on the axis of the beam
EXAM MAP
Medical
NEET