1
JEE Main 2015 (Offline)
+4
-1 Monochromatic light is incident on a glass prism of angle $$A$$. If the refractive index of the material of the prism is $$\mu$$, a ray, incident at an angle $$\theta$$. on the face $$AB$$ would get transmitted through the face $$AC$$ of the prism provided : A
$$\theta > {\cos ^{ - 1}}\left[ {\mu \,\sin \left( {A + {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]$$
B
$$\theta < {\cos ^{ - 1}}\left[ {\mu \,\sin \left( {A + {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]$$
C
$$\theta > si{n^{ - 1}}\left[ {\mu \,\sin \left( {A - {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]$$
D
$$\theta < si{n^{ - 1}}\left[ {\mu \,\sin \left( {A - {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]$$
2
JEE Main 2014 (Offline)
+4
-1
A thin convex lens made from crown glass $$\left( {\mu = {3 \over 2}} \right)$$ has focal length $$f$$. When it is measured in two different liquids having refractive indices $${4 \over 3}$$ and $${5 \over 3},$$ it has the focal lengths $${f_1}$$ and $${f_2}$$ respectively. The correct relation between the focal lengths is :
A
$${f_1} = {f_2} < f$$
B
$${f_1} > f$$ and $${f_2}$$ becomes negative
C
$${f_2} > f$$ and $${f_1}$$ becomes negative
D
$${f_1}\,$$ and$${f_2}\,$$ both become negative
3
JEE Main 2014 (Offline)
+4
-1
A green light is incident from the water to the air - water interface at the critical angle $$\left( \theta \right)$$. Select the correct statement.
A
The entire spectrum of visible light will come out of the water at an angle of $${90^ \circ }$$ to the normal.
B
The spectrum of visible light whose frequency is less than that of green light will come out to the air medium.
C
The spectrum of visible light whose frequency is more than that of green light will come out to the air medium.
D
The entire spectrum of visible light will come out of the water at various angles to the normal.
4
JEE Main 2013 (Offline)
+4
-1
Diameter of a plano-convex lens is $$6$$ $$cm$$ and thickness at the center is $$3mm$$. If speed of light in material of lens is $$2 \times {10^8}\,m/s,$$ the focal length of the lens is
A
$$15$$ $$cm$$
B
$$20$$ $$cm$$
C
$$30$$ $$cm$$
D
$$10$$ $$cm$$
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