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Interference Class 12 Physics Solved Numerical with solutions for practice
Maharashtra Board Class 12 Physics Chapter 7 Wave Optics Questions.
Maharashtra Board Class 12 Physics Chapter 7 Wave Optics Questions.
13. White light consists of wavelengths from 400 nm to 700 nm. What will be the wavelength range seen when white light is passed through glass of refractive index 1.5571 [Ans: 258.06 - 451.61 nm]
14. The optical path of a ray of light of a given wavelength travelling a distance of 3 cm in flint glass having refractive index 1.6 is same as that on travelling a distance x cm through a medium having refractive index 1.25. Determine the value of x.
15. A double-slit arrangement produces interference fringes for sodium light ( = 589 nm) that are 0.20° apart. What is the angular fringe separation if the entire arrangement is immersed in water (n = 1.33)? [Ans: 0.15°]
16. In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. (a) What is the angular separation in radians between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 50.0 cm from the slits?
[Ans: 0.01 rad, 0.5 cm]
17. Unpolarized light with intensity Io is incident on two polaroids. The axis of the first polaroid makes an angle of 50° with the vertical, and the axis of the second polaroid is horizontal. What is the intensity of the light after it has passed through the second polaroid? [Ans: 10/2 x (cos 40°)2]
18. In a biprism experiment, the fringes are observed in the focal plane of the eyepiece at a distance of 1.2 m from the slits. The distance between the central bright band and the 20th bright band is 0.4 cm. When a convex lens is placed between the biprism and the eyepiece, 90 cm from the eyepiece, the distance between the two virtual magnified images is found to be 0.9 cm. Determine the wavelength of light used. [Ans: 5000 A]
19. In Fraunhoffer diffraction by a narrow slit, a screen is placed at a distance of 2 m from the lens to obtain the diffraction pattern. If the slit width is 0.2 mm and one of the slits in Young's experiment is twice the intensity of the light coming from the other slit. What will be the approximate ratio of the intensities of the bright and dark fringes in the resulting interference pattern? [Ans: 34]
20. The intensity of the light coming from one of the slits in Young's experiment is twice the intensity of the light coming from the other slit. What will be the approximate ratio of the intensities of the bright and dark fringes in the resulting interference pattern?
21. A parallel beam of green light of wavelength 546 nm passes through a slit of width 0.4 mm. The intensity pattern of the transmitted light is seen on a screen which is 40 cm away. What is the distance between the two fast order minima?
[Ans: 1.1 mm]
22. What must be the ratio of the slit width to the wavelength for a single slit to have the first diffraction minimum at 45.0°? [Ans: 1.27]
23. Monochromatic electromagnetic radiation from a distant source passes through a slit. The diffraction pattern is observed on a screen 2.50 m from the slit. If the width of the central maximum is 6.00 mm, what is the slit width if the wavelength is (a) 500 nm (visible light); (b) 50 p.m (infrared radiation); (c) 0.500 nm (X-rays)? [Ans: 0.416 mm, 41.6 mm, 4.16x104 mm]
24. A star is emitting light at the wavelength of 5000 A. Determine the limit of resolution of a telescope having an objective of diameter of 200 inch. [Ans: 1.2 x104 rad]
25. The distance between two consecutive bright fringes in a biprism experiment using light of wavelength 6000 A is 0.32 mm by how much will the distance change if light of wavelength 4800 A is used? [Ans: 0.064 mm]
y=sin(kx-wt+∆) Worksheet for practice pdf with solutions
y=sin(kx-wt+∆)- THEORY & WORKSHEETS
Worksheet for practice pdf with solutions
Link1
Theory and Solutions
Diffraction - YOUTUBE VIDEOS
Diffraction interference patterns with phasor diagrams
https://www.youtube.com/watch?v=NazBRcMDOOo&
A wavefront is properly defined through the concept of phase difference: all points on a wavefront have zero phase difference.)
Pt source of light - as defined by HCV> this makes the Diffraction minimum.
4.14 Identical waves leaving two sources arrive at point P. Point P is 12 m from the first source and 16.5 m from the second. The waves from both sources have a wavelength of 3 m. State and explain what is observed at P.
The path difference is 16.5 − 12 = 4.5 m. Dividing by the wavelength, the path difference is equal to (1 + 1/2) × 3 m, i.e. it is a half-integral multiple of the wavelength. We thus have destructive interference
If the path difference is anything other than an integral or half-integral multiple of the wavelength, then the resultant amplitude of the wave at P will be some value between zero and 2A, where A is the amplitude of one of the waves (we are again assuming that the two waves have equal amplitudes). When sound waves from two sources interfere, points of constructive interference are points of high intensity of sound. Points of destructive interference are points of no sound at all. If the waves involved are light waves, constructive interference produces points of bright light, and destructive interference results in points of darkness. Complete destructive interference takes place only when the two waves have equal amplitudes.
A standing wave does not transfer energy: it consists of two traveling waves that transfer energy in opposite directions so the standing wave itself transfers no energy.
The complex can be understood in terms of the simple. The equation for SHM can be solved in terms of simple sine and cosine functions. These simple solutions help physicists to visualise how an oscillator behaves. Although real oscillations are very complex, a powerful mathematical machinery called Fourier analysis allows the decomposition of complex oscillations, sounds, noise and waves in general, in terms of sines and cosines. Energy exchange in oscillating electrical circuits is modelled using this type of analysis. Therefore the simple descriptions used in this topic can also be used in more complex problems as well.
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HCV Lecture Series
https://www.youtube.com/watch?v=RpOByUcmyOg&t=22s
Lec04: optics: From Diffraction to Interference by H C Verma
https://www.youtube.com/watch?v=-NCFy1ARPLI
Lec03: Optics : From One Medium to Another Refraction by H C Verma
https://www.youtube.com/watch?v=4oHdfdxFtvI
Lec02:Optics: From Fermat Principle to Reflection by H C Verma
https://www.youtube.com/watch?v=QHf_j3sM40c
Lec01 : Optics: From Shadows to Diffraction by H C Verma
Intensity Amplitude Power of Waves | Good YouTube videos
Energy, Power and Intensity of Waves
https://youtu.be/jWobrss_8sk
What is Wave Intensity?
Wave Amplitude and Intensity - A Level Physics
Power and Intensity of a Wave |
Physics - Mechanics: Mechanical Waves (19 of 21) Energy Carried by a Wave
Physics - Mechanics: Mechanical Waves (20 of 21) Energy Carried by a Wave 2
Intensity and Amplitude
#isequaltoklasses | Concave Lens Formula | Magnification Formula | Solved Numericals
Concave Lens Formula | Magnification Formula | Solved Numerical
GOOD OPTICS LECTURES - Phase Difference | Myopic and Hyperopic Vision
Optometry 101 | Corrective Optics for Myopic and Hyperopic Vision | Doc Physics
https://www.youtube.com/watch?v=jkaakYZZjbM&t=8s
Optometry 102 | Finding Refractive Power (Diopters) Worked Examples | Doc Physics
https://www.youtube.com/watch?v=VDehC_Txa1U&t=55s
WAVE OPTICS - GEOMETRICAL & OPTICAL PATH
https://www.youtube.com/watch?v=cYxfYdE3ark&t=25s
Waves: Phase Difference - IB Physics
https://www.youtube.com/watch?v=v_oujF9RHK8&t=3s
Graphical Representation of Wave: Phase Difference
https://www.youtube.com/watch?v=h28MWRrpOUU&t=4s
Phase Difference - A level Physics
https://www.youtube.com/watch?v=iIjPJERQnnw&t=6s
ABERRATION - GUD VIDEOS
https://www.youtube.com/watch?v=_NaUmqPUyAA
Spherical and Chromatic Aberrations
https://www.youtube.com/watch?v=8R29jGaSdkE
PHYS 130 Optics Part 4: Aberrations
https://www.youtube.com/watch?v=v6f8JuRxCLk
Lens aberrations
https://www.youtube.com/watch?v=RZE7mFwHg-M
The Lens - Monochromatic Aberrations (Spherical, Coma, Petzval, Distortion) - Episode 3.2
The Lens - Chromatic Aberration - Episode 3.1
https://www.youtube.com/watch?v=MMp87Iw-WoI
OPTICAL INSTRUMENTS - GUD VIDEOS
COMPOUND MICROSCOPE || in HINDI
https://www.youtube.com/watch?v=WxKtyChtttU
ASTRONOMICAL TELESCOPE - Part 1 || in HINDI
https://www.youtube.com/watch?v=9TxeSgSEe4o
https://www.youtube.com/watch?v=IDwfL93GtNk
ASTRONOMICAL TELESCOPE - Part 2 || in HINDI
https://www.youtube.com/watch?v=EfND_mZ9BP0
SIMPLE MICROSCOPE || in HINDI
Diffraction of Light Good Youtube Video
https://www.youtube.com/watch?v=ikCReyM6xXc
Diffraction of Light - Wave Optics - 1
https://www.youtube.com/watch?v=1TRdOjVpm-0
Diffraction of light - Wave Optics - 2
https://www.youtube.com/watch?v=BfnYT3ee-nU
Diffraction by a single slit
https://www.youtube.com/watch?v=aYkd_xSvaxE
Diffraction of light animation best to understand class 12 physics
https://www.youtube.com/watch?v=3z0nWghQvlI
DIFFRACTION of Light || in HINDI
https://www.youtube.com/watch?v=kxKXV3TZMyA
Fraunhofer diffraction by single slit (Part-1 B.Sc.)
https://www.youtube.com/watch?v=9uiOpfjxgLg
Fraunhofer diffraction by a single slit (Part-2) B.SC. & B.TECH.
https://www.youtube.com/watch?v=kxKXV3TZMyA
Fraunhofer diffraction by single slit (Part-1 B.Sc.)
https://www.youtube.com/watch?v=9uiOpfjxgLg
Fraunhofer diffraction by a single slit (Part-2) B.SC. & B.TECH.
https://www.youtube.com/watch?v=rPbTwzMUWN8
Diffraction Of Light Experiment By HC Verma Sir | Best Explanation | Wave Nature Of Light By HCV
TOTAL INTERNAL REFLECTION - GOOD LINKS
https://www.youtube.com/watch?v=mtVbb_MWNDg
Laser Viewing Tank
https://www.youtube.com/watch?v=NAaHPRsveJk
Total Internal Reflection
https://www.youtube.com/watch?v=Lic3gCS_bKo
Total Internal Reflection Demo: Optical Fibers
https://www.youtube.com/watch?v=dmNOmCQZRE8
TIR in Rainbow?
https://www.youtube.com/watch?v=968gVUAY9Mg
Crazy Material That You Can Make at Home That Actually Bends Light!
Refraction of Light Through a Glass Slab using Laser Beam
https://www.youtube.com/watch?v=el8AUeZaljw
REFRACTIVE INDEX - GUD LINKS
https://www.youtube.com/watch?v=CW9gOyH8HIA&t=157s
https://www.youtube.com/watch?v=lij4oawWONg
REFRACTIVE INDEX DEPENDS ON THESE FACTORS
The refractivity index is affected by three different major factors: the frequency of light, the temperature and the concentration of the liquid.The final factor affecting refractive index is concentration. In general the more concentrated a compound is the higher the refractive index will be. Frequently the concentration of a solution
(sugar in water) can be plotted versus the refractive index and used to calculation the
concentrations of other samples (of sugared water).
OPTICS - GUD LECTURES
Explanation of Mirage without Total Internal Reflection
https://www.youtube.com/watch?v=TQM9HnHCkEc
REFRACTION OR NO REFRACTION in normal incidence
https://www.youtube.com/watch?v=3S2IRz7AjYg
Do we use sign convention twice in lense eqation?
https://youtu.be/BJVuu8wfpBA
TIR in Rainbow?
https://www.youtube.com/watch?v=dmNOmCQZRE8
Why does light bend on refraction
https://www.youtube.com/watch?v=5D5tR3nq7VI
Why Does Light REALLY Bend?
https://www.youtube.com/watch?v=cep6eECGtw4
Why does light slow down in water?
https://www.youtube.com/watch?v=CUjt36SD3h8