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(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
The value of Brewster's angle for a transparent medium is different for light of different colours. Give reason.
Concept: Brewster's Law
Distinguish between unpolarised and linearly polarised light.
Concept: Plane Polarised Light
Write three characteristic features to distinguish between the interference fringes in Young's double slit experiment and the diffraction pattern obtained due to a narrow single slit.
Concept: Interference of Light Waves and Young’s Experiment
Two wavelengths of sodium light 590 nm and 596 nm are used, in turn to study the diffraction taking place at a single slit of aperture 2 × 10−4m. The distance between the slit and the screen is 1.5 m. Calculate the separation between the positions of the first maxima of the diffraction pattern obtained in the two cases.
Concept: Fraunhofer Diffraction Due to a Single Slit
Define refracting telescope magnifying power and write the expression for it ?
Concept: Diffraction of Light >> Resolving Power of Microscope and Astronomical Telescope
