The least distance from the central fringe where the bright fringes of the two wavelengths coincides is, y n= n įind the minimum thickness of a film of refractive index 1.25, which will strongly reflect the light of wavelength 589 nm. Thus, the 3rd bright fringe of λ 1 and 4th bright fringe of λ 2 coincide at the least distance y. Let nth order bright fringe of λ 1 coincides with ( n+1) th order bright fringe of λ 2. Solutionįor a given y, n and λ are inversely proportional. Find the least distance from the central fringe where the bright fringe of the two wavelengths coincides.

Two lights of wavelengths 560 nm and 420 nm are used in Young’s double slit experiment. The wavelength will decrease refractive index n times. (iv) The fringe width will decrease as the setup is immersed in water of refractive index 4/3 (iii) The fringe width will increase as D is increased, (iv) What will happen to the fringe width if the whole setup is immersed in water of refractive index 4/3. (iii) How will the fringe pattern change if the screen is moved away from the slits? (i) Find the distance of the second bright fringe and also third dark fringe from the central maximum. The light source has a wavelength of 450 nm. In Young’s double slit experiment, the two slits are 0.15 mm apart. Relation between phase difference and path difference is, ϕ = 2π/λ ×δ How much phase it will differ for a path of 3 mm? The resultant intensity is, I = 4 I 0 cos 2( ϕ /2)

What is the resultant intensity at a point where the two light waves have a phase difference of π/3? Two light sources have intensity of light as I 0. The intensity is, I ∝ µ 4 a 2 cos 2( ϕ/ 2) Calculate the ratio of maximum and minimum intensities. Two light sources of equal amplitudes interfere with each other. Two light sources with amplitudes 5 units and 3 units respectively interfere with each other. Interference - Numerical Problems Questions with Answers, Solution

The results show that the frequency remains same in all media. (b) The equation relating the speed and refractive index is, (a) The equation relating the wavelength and refractive index is, The refractive index of water, n 2 = 1.33 The wavelength of light from sodium source in vacuum is 5893Å.What are its (a) wavelength, (b) speed and (c) frequency when this light travels in water which has a refractive index of 1.33. Wave Nature of Light - Numerical Problems Questions with Answers, Solution Wave Optics - Numerical Problems Questions with Answers, Solution

Intensity of light water equation