1
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 initial shape of the wavefront of the beam is

A
convex
B
concave
C
convex near the axis and concave near the periphery
D
planar
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.

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
3
AIEEE 2010
MCQ (Single Correct Answer)
+4
-1
A point $$P$$ moves in counter-clockwise direction on a circular path as shown in the figure. The movement of $$P$$ is such that it sweeps out a length $$s = {t^3} + 5,$$ where $$s$$ is in metres and $$t$$ is in seconds. The radius of the path is $$20$$ $$m.$$ The acceleration of $$'P'$$ when $$t=2$$ $$s$$ is nearly.

AIEEE 2010 Physics - Circular Motion Question 65 English
A
$$13m/{s_2}$$
B
$$12m/{s^2}$$
C
$$7.2m{s^2}$$
D
$$14m/{s^2}$$
4
AIEEE 2010
MCQ (Single Correct Answer)
+4
-1
A small particle of mass $$m$$ is projected at an angle $$\theta $$ with the $$x$$-axis with an initial velocity $${v_0}$$ in the $$x$$-$$y$$ plane as shown in the figure. At a time $$t < {{{v_0}\sin \theta } \over g},$$ the angular momentum of the particle is ................,

AIEEE 2010 Physics - Rotational Motion Question 205 English

where $$\widehat i,\widehat j$$ and $$\widehat k$$ are unit vectors along $$x,y$$ and $$z$$-axis respectively.
A
$$ - mg\,{v_0}{t^2}\cos \theta \widehat j$$
B
$$mg\,{v_0}t\cos \theta \widehat k$$
C
$$ - {1 \over 2}mg\,{v_0}{t^2}\cos \,\theta \widehat k$$
D
$${1 \over 2}mg\,{v_0}{t^2}\cos \theta \widehat i$$
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