Physics-
General
Easy

Question

A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the axis of the mirror is at an angle theta equals 30 to the power of ring operator end exponent to the axis of the lens, as shown in the figure.

If the origin of the coordinate system is taken to be at the centre of the lens, the coordinates (in cm) of the point (x,y) at which the image is formed are

  1. (0, 0)    
  2. left parenthesis 50 minus 25 square root of 3 comma 25 right parenthesis    
  3. left parenthesis 2525 square root of 3 right parenthesis    
  4. left parenthesis 125 divided by 325 square root of 3 right parenthesis    

The correct answer is: left parenthesis 2525 square root of 3 right parenthesis

Related Questions to study

General
physics-

Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n subscript 1 end subscript surrounded by a medium of lower refractive index n subscript 2 end subscript . The light guidance in the structure takes place due to successive total internal reflections at the interface of the media n subscript 1 end subscript and n subscript 2 end subscript as shown in the figure. All rays with the angle of incidence i less than a particular value im are confined in the medium of refractive index n subscript 1 end subscript . The numerical aperture (NA) of the structure is defined as sin im .

For two structures namely S1 with n subscript 1 end subscript equals square root of 45 divided by 4 and n subscript 2 end subscript equals 3 divided by 2 comma and S subscript 2 end subscript text  with  end text n subscript 1 end subscript equals 8 divided by 5 text  and  end text n subscript 2 end subscript equals 7 divided by 5 and taking the refractive index of water to be 4/3 and that of air to be 1, the correct option (s) is (are)

Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n subscript 1 end subscript surrounded by a medium of lower refractive index n subscript 2 end subscript . The light guidance in the structure takes place due to successive total internal reflections at the interface of the media n subscript 1 end subscript and n subscript 2 end subscript as shown in the figure. All rays with the angle of incidence i less than a particular value im are confined in the medium of refractive index n subscript 1 end subscript . The numerical aperture (NA) of the structure is defined as sin im .

For two structures namely S1 with n subscript 1 end subscript equals square root of 45 divided by 4 and n subscript 2 end subscript equals 3 divided by 2 comma and S subscript 2 end subscript text  with  end text n subscript 1 end subscript equals 8 divided by 5 text  and  end text n subscript 2 end subscript equals 7 divided by 5 and taking the refractive index of water to be 4/3 and that of air to be 1, the correct option (s) is (are)

physics-General
General
physics-

Two identical glass rode S subscript 1 end subscript and S subscript 2 end subscript (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S subscript 1 end subscript on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S subscript 2 end subscript. The distance d is

Two identical glass rode S subscript 1 end subscript and S subscript 2 end subscript (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S subscript 1 end subscript on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S subscript 2 end subscript. The distance d is

physics-General
General
physics-

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 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 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 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

physics-General
parallel
General
physics-

A transparent thin film of uniform thickness and refractive index n subscript 1 end subscript = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n subscript 2 end subscript = 1.5, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f subscript 1 end subscriptfrom the film, while rays of light traversing from glass to air get focused at distance f subscript 2 end subscript from the film. Then

A transparent thin film of uniform thickness and refractive index n subscript 1 end subscript = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n subscript 2 end subscript = 1.5, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f subscript 1 end subscriptfrom the film, while rays of light traversing from glass to air get focused at distance f subscript 2 end subscript from the film. Then

physics-General
General
physics-

A bi-convex lens is formed with two thin plano-convex 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 the curved surfaces are of the same radius of curvature R = 14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be

A bi-convex lens is formed with two thin plano-convex 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 the curved surfaces are of the same radius of curvature R = 14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be

physics-General
General
physics-

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60 to the power of ring operator end exponent (see figure). If the refractive index of the material of the prism is square root of 3 text  , end text which of the following is (are) correct ?

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60 to the power of ring operator end exponent (see figure). If the refractive index of the material of the prism is square root of 3 text  , end text which of the following is (are) correct ?

physics-General
parallel
General
physics-

A light beam is traveling from Region I to Region IV (Refer Figure). The refractive index in Regions I, II, III and IV are n subscript 0 end subscript comma fraction numerator n subscript 0 end subscript over denominator 2 end fraction comma fraction numerator n subscript 0 end subscript over denominator 6 end fraction text  and  end text fraction numerator n subscript 0 end subscript over denominator 8 end fraction respectively. The angle of incidence theta for which the beam just misses entering Region IV is

A light beam is traveling from Region I to Region IV (Refer Figure). The refractive index in Regions I, II, III and IV are n subscript 0 end subscript comma fraction numerator n subscript 0 end subscript over denominator 2 end fraction comma fraction numerator n subscript 0 end subscript over denominator 6 end fraction text  and  end text fraction numerator n subscript 0 end subscript over denominator 8 end fraction respectively. The angle of incidence theta for which the beam just misses entering Region IV is

physics-General
General
physics-

The graph between object coordinate u and image coordinate v for a lens is given below. The focal length of the lens is:

The graph between object coordinate u and image coordinate v for a lens is given below. The focal length of the lens is:

physics-General
General
physics-

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm. The plane surface of the lens is now silvered. The image created by the system is at :

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm. The plane surface of the lens is now silvered. The image created by the system is at :

physics-General
parallel
General
physics-

An equilateral prism is kept on a horizontal surface. A typical ray of light PQRS is shown in the figure. For minimum deviation

An equilateral prism is kept on a horizontal surface. A typical ray of light PQRS is shown in the figure. For minimum deviation

physics-General
General
physics-

Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is mu, a rav, incident at an angle theta, on the face AB would get transmitted through the face AC of the prism provided :

Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is mu, a rav, incident at an angle theta, on the face AB would get transmitted through the face AC of the prism provided :

physics-General
General
physics-

A transparent solid cylindrical rod has a refractive index of fraction numerator 2 over denominator square root of 3 end fraction It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle (q) for which the light ray grazes along the wall of the rod is:

A transparent solid cylindrical rod has a refractive index of fraction numerator 2 over denominator square root of 3 end fraction It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle (q) for which the light ray grazes along the wall of the rod is:

physics-General
parallel
General
physics-

A light ray is incident perpendicularly to one face to a 90 to the power of ring operator end exponent prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45º, we conclude that the refractive index n is

A light ray is incident perpendicularly to one face to a 90 to the power of ring operator end exponent prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45º, we conclude that the refractive index n is

physics-General
General
chemistry-

The complex ion has two optical isomers. Their correct configurations are:

The complex ion has two optical isomers. Their correct configurations are:

chemistry-General
General
chemistry-

Of the following configurations, the optical isomers are
I) 
II) 
III) 
IV) 

Of the following configurations, the optical isomers are
I) 
II) 
III) 
IV) 

chemistry-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.