1
AIEEE 2009
+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.

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
$${\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}} \right)$$
2
AIEEE 2008
+4
-1
A student measures the focal length of a convex lens by putting an object pin at a distance $$'u'$$ from the lens and measuring the distance $$'v'$$ of the image pin. The graph between $$'u'$$ and $$'v'$$ plotted by the student should look like
A
B
C
D
3
AIEEE 2007
+4
-1
Two lenses of power $$-15$$ $$D$$ and $$+5$$ $$D$$ are in contact with each other. The focal length of the combination is
A
$$+ 10\,cm$$
B
$$- 20\,cm$$
C
$$- 10\,cm$$
D
$$+ 20\,cm$$
4
AIEEE 2006
+4
-1
The refractive index of a glass is $$1.520$$ for red light and $$1.525$$ for blue light. Let $${D_1}$$ and $${D_2}$$ be angles of minimum deviation for red and blue light respectively in a prism of this glass. Then,
A
$${D_1} < {D_2}$$
B
$${D_1} = {D_2}$$
C
$${D_1}$$ can be less than or greater than $${D_2}$$ depending upon the angle of prism
D
$${D_1} > {D_2}$$
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