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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
Draw a ray diagram of Astronomical Telescope for the final image formed at infinity
Concept: Optical Instruments >> Telescope
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
Monochromatic light of frequency 6.0 × 1014 Hz is produced by a laser. The power emitted is 2.0 × 10−3 W. Estimate the number of photons emitted per second on an average by the source
Concept: Refraction of Monochromatic Light
In what way is diffraction from each slit related to the interference pattern in a double-slit experiment?
Concept: Diffraction of Light >> The Single Slit
Draw the intensity pattern for single slit diffraction.
Concept: Diffraction of Light >> Seeing the Single Slit Diffraction Pattern
Draw the intensity pattern for double slit interference.
Concept: Diffraction of Light >> Seeing the Single Slit Diffraction Pattern
State differences between interference and diffraction patterns.
Concept: Diffraction of Light >> Seeing the Single Slit Diffraction Pattern
Unpolarised light is passed through a polaroid P1. When this polarised beam passes through another polaroid P2 and if the pass axis of P2 makes angle θ with the pass axis of P1, then write the expression for the polarised beam passing through P2. Draw a plot showing the variation of intensity when θ varies from 0 to 2π.
Concept: Polarisation
Use Huygens' principle to verify the laws of refraction.
Concept: Huygens' Principle
How is linearly polarised light obtained by the process of scattering of light. Find the Brewster angle for air – glass interface, when the refractive index of glass = 1.5.
Concept: Plane Polarised Light
When light travels from a rarer to a denser medium, the speed decreases. Does this decrease in speed imply a reduction in the energy carried by the wave?
Concept: Refraction of Monochromatic Light
In the wave picture of light, the intensity of light is determined by the square of the amplitude of the wave. What determines the intensity in the photon picture of light?
Concept: Refraction of Monochromatic Light
