Wave Optics - Optics - Physics Previous Year Questions

In Young's double slit experiment with a monochromatic light, maximum intensity is 4 times the minimum intensity in the interference pattern. What is the ratio of the intensities of the two interfering waves?

In a Young's double slit experiment, the intensity of light at a point on the screen where the path difference between the interfering waves is \(\lambda\), (\(\lambda\) being the wavelength of light used) is I. The intensity at a point where the path difference is \({\lambda \over 4}\) will be (assume two waves have same amplitude)

An interference pattern is obtained with two coherent sources of intensity ratio n : 1. The ratio \(\mathrm{{{{I_{\max }} - {I_{\min }}} \over {{I_{\max }} + {I_{\min }}}}}\) will be maximum if

A ray of monochromatic light is incident on the plane surface of separation between two media \(\mathrm{X}\) and \(\mathrm{Y}\) with angle of incidence '\(\mathrm{i}\)' in medium $\mathrm{X}$ and angle of refraction 'r' in medium Y. The given graph shows the relation between \(\sin \mathrm{i}\) and \(\sin \mathrm{r}\). If \(\mathrm{V}_{X}\) and \(\mathrm{V}_{Y}\) are the velocities of the ray in media X and Y respectively, then which of the following is true?

X-rays of wavelength \(\lambda\) gets reflected from parallel planes of atoms in a crystal with spacing d between two planes as shown in the figure. If the two reflected beams interfere constructively, then the condition for maxima will be, (n is the order of interference fringe)

Light of wavelength \(6000 \mathop A\limits^o\) is incident on a thin glass plate of r.i. 1.5 such that the angle of refraction into the plate is \(60^{\circ}\). Calculate the smallest thickness of the plate which will make dark fringe by reflected beam interference.

In a single-slit diffraction experiment, the slit is illuminated by light of two wavelengths \(\lambda_1\) and \(\lambda_2\). It is observed that the \(2^{\text {nd }}\) order diffraction minimum for \(\lambda_1\) coincides with the \(3^{\text {rd }}\) diffraction minimum for \(\lambda_2\). Then

A single slit diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light then

Beyond what distance，the ray optics is sufficiently valid when the aperture is 6 mm wide and the wavelength is $6000 \mathop {\rm{A}}\limits^{\rm{o}}$ ？

Two points of monochromatic and coherent sources of light of wavelength $\lambda$ each, are placed as shown in figure. The initial phase difference between the sources is zero, $(D \gg d)$. Mark the correct statement(s).