Question types

Geometrical Optics question types

118 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

118
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6
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5
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Sample Questions

Geometrical Optics questions

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

Four modifications are suggested in the lens formula to include the effect of the thickness t of the lens. Which one is likely to be correct?
  • A
    $\frac{1}{\text{v}}-\frac{1}{\text{u}}=\frac{1}{\text{uf}}$
  • B
    $\frac{1}{\text{v}^2}-\frac{1}{\text{u}}=\frac{1}{\text{f}}$
  • $\frac{1}{\text{v}-\text{t}}-\frac{1}{\text{u}+\text{t}}=\frac{1}{\text{f}}$
  • D
    $\frac{1}{\text{v}}-\frac{1}{\text{u}}+\frac{\text{t}}{\text{uv}}=\frac{\text{t}}{\text{f}}$

Answer: C.

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A point source of light is placed in front of a plane mirror:
  • All the reflected rays meet at a point when produced backward.
  • B
    Only the reflected rays close to the normal meet at a point when produced backward.
  • C
    Only the reflected rays making a small angle with the mirror, meet at a point when produced backward.
  • D
    Light of different colours make different images.

Answer: A.

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A convex lens is made of a material having refractive index $1.2.$ Both the surfaces of the lens are convex. If it is dipped into water $(\mu=1.33),$ it will behave like:
  • A
    A convergent lens.
  • A divergent lens.
  • C
    A rectangular slab.
  • D
    A prism.

Answer: B.

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Two concave lenses $L_1$ and $L_2$ are kept in contact with each other. If the space between the two lenses is filled with a material of refractive index $\mu\approx1,$ the magnitude of the focal length of the combination:
  • A
    Becomes undefined.
  • B
    Remains unchanged.
  • C
    Increases.
  • Decreases.

Answer: D.

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Two rays A and B being reflected by a mirror and going as A' and B'. The mirror:
  • Is plane.
  • B
    Is convex.
  • C
    Is concave.
  • D
    May be any spherical mirror.

Answer: A.

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Two converging lenses of unequal focal lengths can be used to reduce the aperture of a parallel beam of light without losing the energy of the light. This increases the intensity. Describe how the converging lenses should be placed to do this.
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A diverging lens of focal length 20cm and a converging mirror of focal length 10cm are placed coaxially at a separation of 5cm. Where should an object be placed so that a real image is formed at the object itself?
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A thin converging lens is formed with one surface convex and the other plane. Does the position of image depend on whether the convex surface or the plane surface faces the object?
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A 1cm object is placed perpendicular to the principal axis of a convex mirror of focal length 7.5cm. Find its distance from the mirror if the image formed is 0.6cm in size.
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An optical fibre $(\mu=1.72)$ is surrounded by a glass coating $(\mu=1.50).$ Find the critical angle for total internal/ reflection at the fibre-glass interface.
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A point source is placed at a depth h below the surface of water (refractive index = μ).
  1. Show that light escapes through a circular area on the water surface with its centre directly above the point source.
  2. Find the angle subtended by a radius of the area on the source.
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Q 163 Marks Question3 Marks
Find the angle of minimum deviation for an equilateral prism made of a material of refractive index 1.732. What is the angle of incidence for this deviation?
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Q 183 Marks Question3 Marks
A 5.0 diopter lens forms a virtual image which is 4 times the object placed perpendicularly on the principal axis of the lens. Find the distance of the object from the lens.
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Q 193 Marks Question3 Marks
A small piece of wood is floating on the surface of a 2.5m deep lake. Where does the shadow form on the bottom when the sun is just setting? Refractive index of water $=\frac{4}{3}.$
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Q 203 Marks Question3 Marks
A light ray is incident at an angle of 45° with the normal to a $\sqrt{2}\text{cm}$ thick plate $(\mu = 2.0)$. Find the shift in the path of the light as it emerges out from the plate.
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A paperweight in the form of a hemisphere of radius 3.0cm is used to hold down a printed page. An observer looks at the page vertically through the paperweight. At what height above the page will the printed letters near the centre appear to the observer?
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A convex lens of focal length 20cm and a concave lens of focal length 10cm are placed 10cm apart with their principal axes coinciding. A beam of light travelling parallel to the principal axis and having a beam diameter 5.0mm, is incident on the combination. Show that the emergent beam is parallel to the incident one. Find the beam diameter of the emergent beam.
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A biconvex thick lens is constructed with glass $(\mu=1.50)$ Each of the surfaces has a radius of 10cm and the thickness at the middle is 5cm. Locate the image of an object placed far away from the lens.
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A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3cm and height 4cm filled completely with water. Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index of water = 1.33
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A concave mirror forms an image of 20cm high object on a screen placed 5.0m away from the mirror. The height of the image is 50cm. Find the focal length of the mirror and the distance between the mirror and the object.
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In motor vehicles, a convex mirror is attached near the driver's seat to give him the view of the traffic behind. What is the special function of this convex mirror which a plane mirror can not do?
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Suppose you are inside the water in a swimming pool near an edge. A friend is standing on the edge. Do you find your friend taller or shorter than his usual height?
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A narrow pencil of parallel light is incident normally on a solid transparent sphere of radius r. What should be the refractive index if the pencil is to he focused.
  1. At the surface of the sphere.
  2. At the centre of the sphere.
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A slide projector has to project a 35mm slide (35mm × 23mm) on a 2m × 2m screen at a distance of 10m from the lens. What should be the focal length of the lens in the projector?
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A small object is embedded in a glass sphere $(\mu=1.5)$ of radius 5.0cm at a distance 1.5cm left to the centre. Locate the image of the object as seen by an observer standing.
  1. To the left of the sphere.
  2. To the right of the sphere.
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