1
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If $${{\rm I}_m}$$ be the maximum intensity, the resultant intensity $${\rm I}$$ when they interfere at phase difference $$\phi $$ is given by :
A
$${{{I_m}} \over 9}\left( {4 + 5\cos \,\phi } \right)$$
B
$${{{I_m}} \over 3}\left( {1 + 2{{\cos }^2}\,{\phi \over 2}} \right)$$
C
$${{{I_m}} \over 3}\left( {1 + 4{{\cos }^2}\,{\phi \over 2}} \right)$$
D
$${{{I_m}} \over 9}\left( {1 + 8{{\cos }^2}\,{\phi \over 2}} \right)$$
2
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
An electromagnetic wave in vacuum has the electric and magnetic field $$\mathop E\limits^ \to $$and $$\mathop B\limits^ \to $$, which are always perpendicular to each other. The direction of polarization is given by $$\mathop X\limits^ \to $$ and that of wave propagation by $$\mathop k\limits^ \to $$. Then
A
$$\mathop X\limits^ \to ||\mathop B\limits^ \to $$ and $$\mathop X\limits^ \to ||\mathop B\limits^ \to \times \mathop E\limits^ \to $$
B
$$\mathop X\limits^ \to ||\mathop E\limits^ \to $$ and $$\mathop k\limits^ \to ||\mathop E\limits^ \to \times \mathop B\limits^ \to $$
C
$$\mathop X\limits^ \to ||\mathop B\limits^ \to $$ and $$\mathop k\limits^ \to ||\mathop E\limits^ \to \times \mathop B\limits^ \to $$
D
$$\mathop X\limits^ \to ||\mathop E\limits^ \to $$ and $$\mathop k\limits^ \to ||\mathop B\limits^ \to \times \mathop E\limits^ \to $$
3
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
An object $$2.4$$ $$m$$ in front of a lens forms a sharp image on a film $$12$$ $$cm$$ behind the lens. A glass plate $$1$$ $$cm$$ thick, of refractive index $$1.50$$ is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object shifted to be in sharp focus of film?
A
$$7.2$$ $$m$$
B
$$24$$ $$m$$
C
$$3.2$$ $$m$$
D
$$5.6$$ $$m$$
4
AIEEE 2011
MCQ (Single Correct Answer)
+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
$${30^ \circ }$$
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