Physics-
General
Easy

Question

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

  1. –280.0 cm    
  2. 40.0 cm    
  3. 21.5 cm    
  4. 13.3 cm    

The correct answer is: 40.0 cm


    table row cell fraction numerator 1 over denominator f subscript 1 end subscript end fraction equals left parenthesis mu minus 1 right parenthesis open square brackets fraction numerator 1 over denominator R subscript 1 end subscript end fraction minus fraction numerator 1 over denominator R subscript 2 end subscript end fraction close square brackets end cell row cell fraction numerator 1 over denominator f subscript 1 end subscript end fraction equals left parenthesis 1.5 minus 1 right parenthesis open square brackets fraction numerator 1 over denominator 14 end fraction minus fraction numerator 1 over denominator infinity end fraction close square brackets end cell end table
    fraction numerator 1 over denominator f subscript 1 end subscript end fraction equals fraction numerator 0.5 over denominator 14 end fraction

    table row cell fraction numerator 1 over denominator f subscript 2 end subscript end fraction equals left parenthesis 1.2 minus 1 right parenthesis open square brackets fraction numerator 1 over denominator infinity end fraction minus fraction numerator 1 over denominator negative 14 end fraction close square brackets end cell row cell fraction numerator 1 over denominator f subscript 2 end subscript end fraction minus fraction numerator 0.2 over denominator 14 end fraction end cell row cell fraction numerator 1 over denominator f end fraction equals fraction numerator 1 over denominator f subscript 1 end subscript end fraction plus fraction numerator 1 over denominator f subscript 2 end subscript end fraction equals fraction numerator 0.5 over denominator 14 end fraction plus fraction numerator 0.2 over denominator 14 end fraction end cell row cell fraction numerator 1 over denominator f end fraction equals fraction numerator 0.7 over denominator 14 end fraction rightwards double arrow fraction numerator 1 over denominator v end fraction equals fraction numerator 7 over denominator 140 end fraction minus fraction numerator 1 over denominator 40 end fraction equals fraction numerator 1 over denominator 20 end fraction minus fraction numerator 1 over denominator 40 end fraction end cell row cell fraction numerator 1 over denominator v end fraction equals fraction numerator 2 minus 1 over denominator 40 end fraction rightwards double arrow v equals 40 c m end cell end table

    Related Questions to study

    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
    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
    parallel
    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
    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
    parallel
    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
    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
    parallel
    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
    General
    chemistry-

    The complexes given below show:
    and 

    The complexes given below show:
    and 

    chemistry-General
    General
    physics-

    Statement–I : Two identical conical pipes shown in figure have a drop of water. The water drop tends to move towards tapered end

    Statement–II Excess pressure is directed towards centre of curvature and inversely proportional to radius of curvature. Net excess pressure is therefore, directed towards tapered end. So the water drop tends to move towards tapered end

    Statement–I : Two identical conical pipes shown in figure have a drop of water. The water drop tends to move towards tapered end

    Statement–II Excess pressure is directed towards centre of curvature and inversely proportional to radius of curvature. Net excess pressure is therefore, directed towards tapered end. So the water drop tends to move towards tapered end

    physics-General
    parallel
    General
    physics-

    A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross– section A subscript 1 end subscript and A subscript 2 end subscript , are v subscript 1 end subscript and v subscript 2 end subscript respectively. The difference in the levels of the liquid in the two vertical tubes is h–

    A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross– section A subscript 1 end subscript and A subscript 2 end subscript , are v subscript 1 end subscript and v subscript 2 end subscript respectively. The difference in the levels of the liquid in the two vertical tubes is h–

    physics-General
    General
    physics-

    A massless conical flask filled with a liquid is kept on a table in a vacuum. The force exerted by the liquid on the base of the flask is W subscript 1 end subscript . The force exerted by the flask on the table is W subscript 2 end subscript

    A massless conical flask filled with a liquid is kept on a table in a vacuum. The force exerted by the liquid on the base of the flask is W subscript 1 end subscript . The force exerted by the flask on the table is W subscript 2 end subscript

    physics-General
    General
    physics-

    The vessel shown in the figure has two sections of areas of cross–section A subscript 1 end subscript and A subscript 2 end subscript . A liquid of density rho fills both the sections, up to a height h in each. Neglect atmospheric pressure:-

    The vessel shown in the figure has two sections of areas of cross–section A subscript 1 end subscript and A subscript 2 end subscript . A liquid of density rho fills both the sections, up to a height h in each. Neglect atmospheric pressure:-

    physics-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.