A prism having an apex angle 44 and refraction index 1.51.5 is located in front of a vertical plane mirror as shown in the figure. Through what total angle is the ray deviated after reflection from the mirror?

 

1. 176176
2. 44
3. 178178
4. 22

Subtopic:  Prisms |
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A rectangular glass slab ABCD, of refractive index n1n1, is immersed in water of the refractive index n2(n1>n2)n2(n1>n2). A ray of light is incident at the surface AB of the slab as shown. The maximum value of the angle of incidence αmaxαmax, such that the ray comes out only from the other surface CD is given by

                        

1.  sin-1[n1n2cos(sin-1n2n1)]sin1[n1n2cos(sin1n2n1)]           

2.  sin-1[n1cos(sin-11n2)]sin1[n1cos(sin11n2)]

3.  sin-1(n1n2)sin1(n1n2)                           

4.  sin-1(n2n1)sin1(n2n1)           

Subtopic:  Total Internal Reflection |
 53%
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A rod of glass (μ=1.5)(μ=1.5) and of the square cross-section is bent into the shape as shown. A parallel beam of light falls on the plane's flat surface AA as shown in the figure. If dd is the width of a side and RR is the radius of a circular arc then for what maximum value of dR,dR, light entering the glass slab through the surface AA will emerge from the glass through B?B?

               
1. 1.51.5 2. 0.50.5
3. 1.31.3 4. None of these
Subtopic:  Total Internal Reflection |
 57%
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A diverging beam of light from a point source SS having divergence angle α,α, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is tt and the refractive index nn, then the divergence angle of the emergent beam is:
   

1. zero 2. αα
3. sin1(1n)sin1(1n) 4. 2sin1(1n)2sin1(1n)
Subtopic:  Refraction at Plane Surface |
 53%
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A concave mirror is placed at the bottom of an empty tank with face upwards and axis vertical. When sunlight falls normally on the mirror, it is focused at distance of 32 cm from the mirror. If the tank is filled with water (μ=43)(μ=43) upto a height of 20 cm, then the sunlight will now get focussed at

1. 16 cm above water level

2. 9 cm above water level

3. 24 cm below water level

4. 9 cm below water level

Subtopic:  Refraction at Plane Surface |
 54%
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The slab of a refractive index material equal to 22 shown in the figure has a curved surface APBAPB of a radius of curvature of 10 cm10 cm and a plane surface CD.CD. On the left of APBAPB is air and on the right of CDCD is water with refractive indices as given in the figure. An object OO is placed at a distance of 15 cm15 cm from the pole PP as shown. The distance of the final image of OO from PP as viewed from the left is:
          

1. 20 cm20 cm 2. 30 cm30 cm
3. 40 cm40 cm 4. 50 cm50 cm
Subtopic:  Refraction at Curved Surface |
 62%
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The distance between a convex lens and a plane mirror is 1010 cm. The parallel rays incident on the convex lens, after reflection from the mirror form image at the optical centre of the lens. Focal length of the lens will be:

              

1. 1010 cm 2. 2020 cm
3. 3030 cm 4. Cannot be determined
Subtopic:  Lenses |
 61%
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An air bubble in a sphere having 4 cm diameter that appears 1 cm from the surface nearest to the eye when looked along diameter. Ifμga = 1.5, the distance of bubble from the refracting surface is

1.  1.2 cm                   

2.  3.2 cm

3.  2.8 cm           

4.  1.6 cm

Subtopic:  Refraction at Curved Surface |
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An observer can see through a pinhole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

                        

1. 5/2                                   

2. (5/2)

3. (3/2)                               

4. 3/2

Subtopic:  Refraction at Plane Surface |
 62%
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In an experiment of find the focal length of a concave mirror a graph is drawn between the magnitudes of u and v.  The graph looks like

1. 2.
3. 4.

          

Subtopic:  Reflection at Spherical Surface |
 65%
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