1
AIEEE 2011
MCQ (Single Correct Answer)
+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
$${1 \over {10}}\,m/s$$
2
AIEEE 2010
MCQ (Single Correct Answer)
+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
3
AIEEE 2010
MCQ (Single Correct Answer)
+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 2009
MCQ (Single Correct Answer)
+4
-1
A transparent solid cylindrical rod has a refractive index of $${2 \over {\sqrt 3 }}.$$ It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. AIEEE 2009 Physics - Geometrical Optics Question 213 English

The incident angle $$\theta $$ for which the light ray grazes along the wall of the rod is :

A
$${\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{$\scriptstyle {\sqrt 3 }$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} \right)$$
B
$${\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{$\scriptstyle 2$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle {\sqrt 3 }$}}} \right)$$
C
$${\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$$
D
$${\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} \right)$$
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