Advertisements
Advertisements
Figure shows a ray of light passing through a prism. If the refracted ray QR is parallel to the base BC, show that (i) r1 = r2 = A/2 and (ii) angle of minimum deviation, Dm = 2i − A.

Concept: Dispersion by a Prism
Draw a labelled ray diagram of an astronomical telescope to show the image formation of a distant object. Write the main considerations required in selecting the objective and eyepiece lenses in order to have large magnifying power and high resolution of the telescope.
Concept: Optical Instruments >> Telescope
A compound microscope has an objective of focal length 1.25 cm and eyepiece of focal length 5 cm. A small object is kept at 2.5 cm from the objective. If the final image formed is at infinity, find the distance between the objective and the eyepiece ?
Concept: Optical Instruments >> Simple Microscope or a Reading Glass
Draw a labeled ray diagram of a reflecting telescope. Mention its two advantages over the refracting telescope.
Concept: Optical Instruments >> Telescope
How does focal length of a lens change when red light incident on it is replaced by violet light? Give reason for your answer.
Concept: Power of a Lens
Define power of a lens. Write its units. Deduce the relation `1/f =1/f_1 +1/f_2`for two thin lenses kept in contact coaxially.
Concept: Power of a Lens
Draw a labelled ray diagram of an astronomical telescope in the near point adjustment position. A giant refracting telescope at an observatory has an objective lens of focal length 15 m and an eyepiece of focal length 1.0 cm. If this telescope is used to view the Moon, find the diameter of the image of the Moon formed by the objective lens. The diameter of the Moon is `3.48 xx 10^6`m, and the radius of the lunar orbit is `3.48 xx 10^8`m.
Concept: Optical Instruments >> Telescope
Answer the following question.
Under what conditions is the phenomenon of total internal reflection of light observed? Obtain the relation between the critical angle of incidence and the refractive index of the medium.
Concept: Reflection of Light by Spherical Mirrors
Answer the following question.
Three lenses of focal length +10 cm, —10 cm and +30 cm are arranged coaxially as in the figure given below. Find the position of the final image formed by the combination.

Concept: Reflection of Light by Spherical Mirrors
Photo diodes are used to detect ______.
Concept: Light Process and Photometry
With the help of a ray diagram, obtain the relation between its focal length and radius of curvature.
Concept: Reflection of Light by Spherical Mirrors
Define the term ‘resolving power of a telescope’.
Concept: Optical Instruments >> Telescope
A screen is placed 80 cm from an object. The image of the object on the screen is formed by a convex lens placed between them at two different locations separated by a distance 20 cm. determine the focal length of the lens.
Concept: Thin Lens Formula
Define the term ‘focal length of a mirror’.
Concept: Refraction at a Spherical Surface and Lenses >> Refraction at Spherical Surfaces
An object is placed in front of a converging lens. Obtain the conditions under which the magnification produced by the lens is
- negative and
- positive.
Concept: Power of a Lens
In the given figure the radius of curvature of the curved face in the planoconvex and the planoconcave lens is 15 cm each. The refractive index of the material of the lenses is 1.5. Find the final position of the image formed.
Concept: Refraction at a Spherical Surface and Lenses >> Refraction by a Lens
(i) In Young's double-slit experiment, deduce the condition for (a) constructive and (b) destructive interferences at a point on the screen. Draw a graph showing variation of intensity in the interference pattern against position 'x' on the screen.
(b) Compare the interference pattern observed in Young's double-slit experiment with single-slit diffraction pattern, pointing out three distinguishing features.
Concept: Interference of Light Waves and Young’s Experiment
When monochromatic light is incident on a surface separating two media, the reflected and refracted light both have the same frequency as the incident frequency.
Concept: Refraction of Monochromatic Light
Derive an expression for path difference in Young’s double slit experiment and obtain the conditions for constructive and destructive interference at a point on the screen.
Concept: Interference of Light Waves and Young’s Experiment
