Two transparent slabs have the same thickness as shown. One is made of material A of refractive index 1.5. The other is made of two materials B and C with thickness in the ratio 1:2. The refractive index of C is 1.6. If a monochromatic parallel beam passing through the slabs has the same number of waves inside both, the refractive index of B is

1.  1.1     

2.  1.2

3.  1.3

4.  1.4

Subtopic:  Refraction at Plane Surface |
 55%
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The image of point P when viewed from the top of the slabs will be

(1)   2.0 cm above P

(2)   1.5 cm above P

(3)   2.0 cm below P

(4)   1 cm above P

Subtopic:  Refraction at Plane Surface |
 50%
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Two point light sources are 24 cm apart. Where should a convex lens of focal length 9 cm be put in between them from one source so that the images of both the sources are formed at the same place?

1. 6 cm 2. 9 cm
3. 12 cm 4. 15 cm
Subtopic:  Lenses |
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There  is an equi-convex glass lens with radius of each face as R and μga=32 and μwa=43. If there is water in object space and air in image space, then the focal length is :

(1)   2R                                     

(2)   R

(3)   32R                                 

(4)  R2

     

Subtopic:  Lens Makers' Formula |
 57%
From NCERT
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A prism having an apex angle \(4^{\circ}\) and refraction index \(1.5\) 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. \(176^{\circ}\)
2. \(4^{\circ}\)
3. \(178^{\circ}\)
4. \(2^{\circ}\)

Subtopic:  Prisms |
From NCERT
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A rectangular glass slab ABCD, of refractive index n1, is immersed in water of the refractive index n2n1>n2. A ray of light is incident at the surface AB of the slab as shown. The maximum value of the angle of incidence αmax, such that the ray comes out only from the other surface CD is given by

                        

1.  sin-1n1n2cossin-1n2n1           

2.  sin-1n1cossin-11n2

3.  sin-1n1n2                           

4.  sin-1n2n1           

Subtopic:  Total Internal Reflection |
 54%
From NCERT
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A rod of glass (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 flat surface A as shown in the figure. If d is the width of a side and R is the radius of a circular arc then for what maximum value of dR, light entering the glass slab through surface A will emerge from the glass through B?

        

1. 1.5 2. 0.5
3. 1.3 4. None of these
Subtopic:  Total Internal Reflection |
 57%
From NCERT
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A diverging beam of light from a point source S having divergence angle 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 t and the refractive index n, then the divergence angle of the emergent beam is:
   

1. Zero                                       

2. α

3. sin-11/n                           

4. 2sin-1(1/n)

Subtopic:  Refraction at Plane Surface |
 52%
From NCERT
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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 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%
From NCERT
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The slab of a refractive index material equal to 2 shown in the figure has a curved surface APB of a radius of curvature of 10 cm and a plane surface CD. On the left of APB is air and on the right of CD is water with refractive indices as given in the figure. An object O is placed at a distance of 15 cm from pole P as shown. The distance of the final image of O from P as viewed from the left is:
          

1. 20 cm 2. 30 cm
3. 40 cm 4. 50 cm
Subtopic:  Refraction at Curved Surface |
 61%
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