Question types

Ray Optics and Optical Instruments question types

587 questions across 8 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

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Sample Questions

Ray Optics and Optical Instruments questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A biconvex lens of glass having refractive index 1.47 is immersed in a liquid. It becomes invisible and behaves as a plane glass plate. The refractive index of the liquid is:
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion: Endoscopy involves use of optical fibres to study intemal organs.
Reason: Optical fibres are based on phenomena of total internal reflection.
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Two statements are given$-$one labelled Assertion $(A)$ and the other labelled Reason $(R).$ Select the correct answer to these questions from the codes $(a), (b), (c)$ and $(d)$ as given below.
Assertion: The focal length of an equiconvex lens placed in air is equal to radius of curvature of either face. Lens is made up of material of refractive index of $1.5.$
Reason: For an equiconvex lens, radius of curvature of both the faces is same.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
  • C
    $A$ is true but $R$ is false.
  • D
    $A$ is false and $R$ is also false.

Answer: B.

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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion: The minimum distance between an object and its real image formed by a convex lens is 2f.
Reason: The distance between an object and its real image is minimum when its magnification is two.
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion: The light travelling from air to glass can not suffer total internal reflection.
Reason: Air is rarer than glass.
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Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. A is true but R is false.
  4. A is false and R is also false.
Assertion: The images formed by total intemal reflections are brighter than those formed by mirrors or lenses.
Reason: There is no loss of intensity in total internal reflection.
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A magician during a show makes a glass lens with $n=1.47$ disappear in a trough of liquid. What is the refractive index of the liquid? Could the liquid be water?
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Light from a point source in air falls on a spherical glass surface ( $n=1.5$ and radius of curvature $=20 cm )$. The distance of the light source from the glass surface is $100 cm$. At what position the image is formed?
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Define the magnifying power of a compound microscope when the final image is formed at infinity. Why must both the objective and the eyepiece of a compound microscope has short focal lengths? Explain.
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Answer the following question:
Magnifying power of a simple microscope is inversely proportional to the focal length of the lens. What then stops us from using a convex lens of smaller and smaller focal length and achieving greater and greater magnifying power?
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A small pin fixed on a table top is viewed from above from a distance of 50cm. By what distance would the pin appear to be raised if it is viewed from the same point through a 15 cm thick glass slab held parallel to the table? Refractive index of glass = 1.5. Does the answer depend on the location of the slab?
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A screen is placed 90 cm from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by 20 cm. Determine the focal length of the lens.
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Answer the following question:
The refractive index of diamond is much greater than that of ordinary glass. Is this fact of some use to a diamond cutter?
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Q 213 Marks Question3 Marks
  1. A ray of light incident on face $AB$ of an equilateral glass prism, shows minimum deviation of $30^\circ$ . Calculate the speed of light through the prism.
  1. Find the angle of incidence at face $AB$ so that the emergent ray grazes along the face $AC$.
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Q 223 Marks Question3 Marks
If this telescope is used to view a $100 m$ tall tower $3 \ km$ away, what is the height of the image of the tower formed by the objective lens?
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Q 233 Marks Question3 Marks
What should be the distance between the object in Exercise $9.30$ and the magnifying glass if the virtual image of each square in the figure is to have an area of $6.25\ mm^2$. Would you be able to see the squares distinctly with your eyes very close to the magnifier?
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Q 243 Marks Question3 Marks
A small telescope has an objective lens of focal length $140 \ cm$ and an eyepiece of focal length $5.0 \ cm$. What is the magnifying power of the telescope for viewing distant objects when,
  1. the telescope is in normal adjustment $($i.e., when the final image is at infinity$)$?
  2. the final image is formed at the least distance of distinct vision $(25 \ cm)$?
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Q 253 Marks Question3 Marks
For a normal eye, the far point is at infinity and the near point of distinct vision is about 25 cm in front of the eye. The cornea of the eye provides a converging power of about 40 dioptres, and the least converging power of the eye-lens behind the cornea is about 20 dioptres. From this rough data estimate the range of accommodation (i.e., the range of converging power of the eye-lens) of a normal eye.
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  1. A ray of light is incident normally on the face AB of a right-angled glass prism of refractive index $_{a}\mu_{g} =1.5$The prism is partly immersed in a liquid of unknown refractive index. Find the value of refractive index of the liquid so that the ray grazes along the face BC after refraction through the prism.
  1. Trace the path of the rays if it were incident normally on the face AC.
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  1. A point$-$object is placed on the principal axis of a convex spherical surface of radius of curvature $R,$ which separates the two media of refractive indices $n_{ 1}$ and $n_{ 2} (n_{ 2} > n_{ 1}).$ Draw the ray diagram and deduce the relation between the distance of the object $(u)$,distance of the image $(v)$ and the radius of curvature $(R)$ for refraction to take place at the convex spherical surface from rarer to denser medium.
  2. Use the above relation to obtain the condition on the position of the object and the radius of curvature in terms of $n_1$ and $n_2$ when the real image is formed.
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An object AB is kept in front of a concave mirror as shown in the figure.
  1. Complete the ray diagram showing the image formation of the object.
  2. How will the position and intensity of the image be affected if the lower half of the mirror's reflecting surface is painted black?
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  1. A mobile phone lies along the principal axis of a concave mirror. Show, with the help of a suitable diagram, the formation of its image. Explain why magnification is not uniform.
  2. Suppose the lower half of the concave mirror's reflecting surface is covered with an opaque material. What effect this will have on the image of the object? Explain.
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A lady cannot see objects closer than 40cm from the left eye and closer than 100cm from the right eye. While on a mountaineering trip, she is lost from her team. She tries to make an astronomical telscope from her reading glasses to look for her teammates.
  1. Which glass should she use as the eyepiece?
  2. What magnification can she get with relaxed eye?
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A card sheet divided into squares each of size $1 \ mm^2$ is being viewed at a distance of $9 \ cm$ through a magnifying glass $(a$ converging lens of focal length $9 \ cm)$ held close to the eye.
  1. What is the magnification produced by the lens ? How much is the area of each square in the virtual image?
  2. What is the angular magnification (magnifying power) of the lens?
  3. Is the magnification in $(a)$ equal to the magnifying power in $(b)$? Explain.
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What is the focal length of a convex lens of focal length $30\ cm$ in contact with a concave lens of focal length $20 \ cm$ ? Is the system a converging or a diverging lens? Ignore thickness of the lenses.
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Determine the ‘effective focal length’ of the combination of the two lenses in if they are placed $8.0 \ cm$ apart with their principal axes coincident. Does the answer depend on which side of the combination a beam of parallel light is incident? Is the notion of effective focal length of this system useful at all.
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A Cassegrain telescope uses two mirrors. Such a telescope is built with the mirrors $20 \ mm$ apart. If the radius of curvature of the large mirror is $220 \ mm$ and the small mirror is $140 \ mm,$ where will the final image of an object at infinity be?
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An angular magnification $($magnifying power$)$ of $30X$ is desired using an objective of focal length $1.25 \ cm$ and an eyepiece of focal length $5 \ cm$. How will you set up the compound microscope?
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