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Geometrical Optics Physics - Geometrical Optics

Rajasthan Board (RBSE) - STD 12 Science - Physics (Rajasthan - English Medium). 123 questions in this chapter.

Question types

Geometrical Optics question types

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

123
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6
Question groups
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.

Q 1M.C.Q (1 Marks)1 Mark
Three transparent media of refractive indices $\mu_1,\mu_2$ and $\mu_3.$ A point object $O$ is placed in the medium $\mu_2.$ If the entire medium on the right of the spherical surface has refractive index $\mu_1,$ the image forms at $O\ '$. If this entire medium has refractive index $\mu_3,$ the image forms at $O"$. In the situation shown:
  • ✓
    The image forms between $O\ '$ and $O"$
  • B
    The image forms to the left of $O\ '$
  • C
    The image forms to the right of $O"$
  • D
    Two images form, one at $O\ '$ and the other at $O"$.

Answer: A.

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Q 2M.C.Q (1 Marks)1 Mark
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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Q 3M.C.Q (1 Marks)1 Mark
A thin lens is made with a material having refractive index $\mu=1.5.$ Both the sides are convex. It is dipped in water $(\mu=1.33).$ It will behave like:
  • ✓
    A convergent lens.
  • B
    A divergent lens.
  • C
    A rectangular slab.
  • D
    A prism.

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark
A double convex lens has two surfaces of equal radii R and refractive index $\mu=1.5$ We have,
  1. $\text{f}=\frac{\text{R}}{2}$
  2. $\text{f}=\text{R}$
  3. $\text{f}=-\text{R}$
  4. $\text{f}=2\text{R}$
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Q 5M.C.Q (1 Marks)1 Mark
A symmetric double convex lens is cut in two equal parts by a plane containing the principal axis. If the power of the original lens was $4D,$ the power of a divided lens will be$:$
  • A
    $2D$
  • B
    $3D$
  • ✓
    $4D$
  • D
    $5D$

Answer: C.

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Q 91 Marks Question1 Mark
A converging lens of focal length $12\ cm$ and a diverging mirror of focal length $7.5\ cm$ are placed $5.0\ cm$ apart with their principal axes coinciding. Where should an object be placed so that its image falls on itself?
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Q 132 Marks Questions2 Marks
The equation of refraction at a spherical surface is $\frac{\mu_2}{\text{v}}-\frac{\mu_1}{\text{u}}-=\frac{\mu_2-\mu_1}{\text{R}}.$ Taking $\text{R}=\infty,$ show that this equation leads to the equation $\frac{\text{Real depth}}{\text{Apparent depth}}=\frac{\mu_2}{\mu_1}$ for refraction at a plane surface.
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Q 142 Marks Questions2 Marks
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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Q 163 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 173 Marks Question3 Marks
A light ray, going through a prism with the angle of prism 60°, is found to deviate by 30°. What limit on the refractive index can be put from these data?
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Q 183 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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Q 203 Marks Question3 Marks
A point object is placed on the principal axis of a convex lens (f = 15cm) at a distance of 30cm from it. A glass plate $(\mu=1.50)$ of thickness 1cm is placed on the other side of the lens perpendicular to the axis. Locate the image of the point object.
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Q 214 Marks Questions4 Marks
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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Q 224 Marks Questions4 Marks
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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Q 234 Marks Questions4 Marks
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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Q 244 Marks Questions4 Marks
A container contains water upto a height of 20cm and there is a point source at the centre of the bottom of the container. A rubber ring of radius r floats centrally on the water. The ceiling of the room is 2.0m above the water surface.
  1. Find the radius of the shadow of the ring formed on the ceiling if r = 15cm.
  2. Find the maximum value of r for which the shadow of the ring is formed on the ceiling. Refractive index of water $\frac{4}{3}.$
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Q 254 Marks Questions4 Marks
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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Q 265 Marks Questions5 Marks
A biconvex thick lens is constructed with glass $(\mu=1.50)$ Each of the surfaces has a radius of $10\ cm$ and the thickness at the middle is $5\ cm.$ Locate the image of an object placed far away from the lens.
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Q 275 Marks Questions5 Marks
A cylindrical vessel of diameter $12\ cm$ contains $800\pi\text{cm}^3$ of water. A cylindrical glass piece of diameter $8.0 \ cm$ and height $8.0\ cm$ is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays, locate its image. The index of refraction of glass is $1.50$ and that of water is $1.33.$
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Q 285 Marks Questions5 Marks
The radii of curvature of a lens are +20cm and +30cm. The material of the lens has a refracting index 1.6. Find the focal length of the lens.
  1. If it is placed in air.
  2. If it is placed in water $(\mu=1.33).$
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Q 295 Marks Questions5 Marks
A ball is kept at a height h above the surface of a heavy transparent sphere made of a material of refractive index $\mu.$ The radius of the sphere is R. At t = 0, the ball is dropped to fall normally on the sphere. Find the speed of the image formed as a function of time for $\text{t}<\sqrt{\frac{2\text{h}}{\text{g}}}.$ Consider only the image by a single refraction.
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Q 305 Marks Questions5 Marks
Lenses are constructed by a material of refractive index $1.50.$ The magnitude of the radii of curvature are $20\ cm$ and $30\ cm$. Find the focal lengths of the possible lenses with the above specifications.
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