1
IIT-JEE 2012 Paper 1 Offline
+3
-1

A biconvex lens is formed with two planoconvex lenses as shown in the figure. Refractive index n of the first lens is 1.5 and that of the second lens is 1.2. Both curved surface are of the same radius of curvature R = 14 cm. For this biconvex lens, for an object distance of 40 cm, the image distance will be

A
$$-$$280.0 cm
B
40.0 cm
C
21.5 cm
D
13.3 cm
2
IIT-JEE 2010 Paper 2 Offline
+3
-1

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

A
virtual and at a distance of 16 cm from the mirror.
B
real and at a distance of 16 cm from the mirror.
C
virtual and at a distance of 20 cm from the mirror.
D
real and at a distance of 20 cm from the mirror.
3
IIT-JEE 2009 Paper 1 Offline
+3
-1

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as (Take g = 10 m/s$$^2$$)

A
9 m/s
B
12 m/s
C
16 m/s
D
21.33 m/s
4
IIT-JEE 2008 Paper 2 Offline
+3
-1

A light beam is travelling from Region I to Region IV (Refer figure). The refractive index in Regions I, II, III and IV are $${n_0},{{{n_0}} \over 2},{{{n_0}} \over 6}$$ and $${{{n_0}} \over 8}$$, respectively. The angle of incidence $$\theta$$ for which the beam just misses entering Region IV is

A
$${\sin ^{ - 1}}\left( {{3 \over 4}} \right)$$
B
$${\sin ^{ - 1}}\left( {{1 \over 8}} \right)$$
C
$${\sin ^{ - 1}}\left( {{1 \over 4}} \right)$$
D
$${\sin ^{ - 1}}\left( {{1 \over 3}} \right)$$
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