1
JEE Advanced 2014 Paper 2 Offline
+3
-1

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the below figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is

A
1.21
B
1.30
C
1.36
D
1.42
2
JEE Advanced 2014 Paper 2 Offline
+3
-1

Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.5. Match lens combinations in List I with their focal length in List II and select the correct answer using the code given below the lists.

A
P - 1, Q - 2, R - 3, S - 4
B
P - 2, Q - 4, R - 3, S - 1
C
P - 4, Q - 1, R - 2, S - 3
D
P - 2, Q - 1, R - 3, S - 4
3
JEE Advanced 2013 Paper 2 Offline
+3
-1

A right-angled prism of refractive index $$\mu$$1 is placed in a rectangular block of refractive index $$\mu$$2, which is surrounded by a medium of refractive index $$\mu$$3, as shown in the figure. A ray of light e enters the rectangular block at normal incidence. Depending upon the relationships between $$\mu$$1, $$\mu$$2 and $$\mu$$3, it takes one of the four possible paths 'ef', 'eg', 'eh' or 'ei'.

Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists:

List I List II
P. $$e \to f$$
1. $${\mu _1} > \sqrt 2 {\mu _2}$$
Q. $$e \to g$$
2. $${\mu _2} > {\mu _1}$$ and $${\mu _2} > {\mu _3}$$
R. $$e \to h$$
3. $${\mu _1} = {\mu _2}$$
S. $$e \to i$$
4. $${\mu _2} < {\mu _1} < \sqrt 2 {\mu _2}$$ and $${\mu _2} > {\mu _3}$$

A
P-2, Q-3, R-1, S-4
B
P-1, Q-2, R-4, S-3
C
P-4, Q-1, R-2, S-3
D
P-2, Q-3, R-4, S-1
4
JEE Advanced 2013 Paper 1 Offline
+3
-0.75
The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is $${2 \over 3}$$ times the wavelength in free space. The radius of the curved surface of the lens is
A
1 m
B
2 m
C
3 m
D
6 m
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