A monochromatic beam of light falls on YDSE apparatus at some angle (say *θ*) as shown in figure. A thin sheet of glass is inserted in front of the lower slit *S*_{2}. The central bright fringe (path difference = 0) will be obtained

(1) At *O*

(2) Above *O*

(3) Below *O*

(4) Anywhere depending on angle *θ*, thickness of plate *t* and refractive index of glass *μ*

Concept Questions :-

Young Double slit experiment

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Two ideal slits *S*_{1} and *S*_{2} are at a distance *d* apart, and illuminated by light of wavelength *λ* passing through an ideal source slit *S* placed on the line through *S*_{2} as shown. The distance between the planes of slits and the source slit is *D*. A screen is held at a distance *D* from the plane of the slits. The minimum value of *d* for which there is darkness at *O* is

(1) $\sqrt{\frac{3\lambda D}{2}}$

(2) $\sqrt{\lambda D}$

(3) $\sqrt{\frac{\lambda D}{2}}$

(4) $\sqrt{3\lambda D}$

Concept Questions :-

Young Double slit experiment

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Two point sources *X* and *Y* emit waves of same frequency and speed but *Y* lags in phase behind *X* by 2*πl* radian. If there is a maximum in direction *D* the distance *XO* using *n* as an integer is given by

(1) $\frac{\lambda}{2}(n-l)$

(2) $\lambda (n+l)$

(3) $\frac{\lambda}{2}(n+l)$

(4) $\lambda (n-l)$

Concept Questions :-

Diffraction

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A beam with wavelength *λ* falls on a stack of partially reflecting planes with separation *d*. The angle *θ* that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where *n* =1, 2, ……)

(1) ${\mathrm{sin}}^{-1}\left(\frac{{\displaystyle n\lambda}}{{\displaystyle d}}\right)$

(2) ${\mathrm{tan}}^{-1}\left(\frac{{\displaystyle n\lambda}}{{\displaystyle d}}\right)$

(3) ${\mathrm{sin}}^{-1}\left(\frac{{\displaystyle n\lambda}}{{\displaystyle 2d}}\right)$

(4) ${\mathrm{cos}}^{-1}\left(\frac{{\displaystyle n\lambda}}{{\displaystyle 2d}}\right)$

Concept Questions :-

Interference vs Diffraction

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Two coherent sources separated by distance *d* are radiating in phase having wavelength *λ*. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of *n* = 4 interference maxima is given as

(1) ${\mathrm{sin}}^{-1}\frac{n\lambda}{d}$

(2) ${\mathrm{cos}}^{-1}\frac{4\lambda}{d}$

(3) ${\mathrm{tan}}^{-1}\frac{d}{4\lambda}$

(4) ${\mathrm{cos}}^{-1}\frac{\lambda}{4d}$

Concept Questions :-

Interference vs Diffraction

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A circular disc is placed in front of a narrow source. When the point of observation is 2 *m* from the disc, then it covers first HPZ. The intensity at this point is *I*. When the point of observation is 25 *cm* from the disc then intensity will be

(1) ${\left(\frac{{\displaystyle {R}_{6}}}{{\displaystyle {R}_{2}}}\right)}^{2}I$

(2) ${\left(\frac{{\displaystyle {R}_{7}}}{{\displaystyle {R}_{2}}}\right)}^{2}I$

(3) ${\left(\frac{{\displaystyle {R}_{8}}}{{\displaystyle {R}_{2}}}\right)}^{2}I$

(4) ${\left(\frac{{\displaystyle {R}_{9}}}{{\displaystyle {R}_{2}}}\right)}^{2}I$

Concept Questions :-

Interference vs Diffraction

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In a single slit diffraction of light of wavelength *λ* by a slit of width *e*, the size of the central maximum on a screen at a distance *b* is

(1) $2b\lambda +e$

(2) $\frac{2b\lambda}{e}$

(3) $\frac{2b\lambda}{e}+e$

(4) $\frac{2b\lambda}{e}-e$

Concept Questions :-

Diffraction

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The ratio of intensities of consecutive maxima in the diffraction pattern due to a single slit is

(1) 1 : 4 : 9

(2) 1 : 2 : 3

(3) $1\text{\hspace{0.17em}}:\frac{4}{9\text{\hspace{0.17em}}{\pi}^{2}}:\frac{4}{25\text{\hspace{0.17em}}{\pi}^{2}}$

(4) $1:\frac{1}{{\pi}^{2}}:\frac{9}{{\pi}^{2}}$

Concept Questions :-

Diffraction

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In a YDSE bi-chromatic light of wavelengths, 400 *nm* and 560 *nm *are used. The distance between the slits is 0.1 *mm* and the distance between the plane of the slits and the screen is 1*m*. The minimum distance between two successive regions of complete darkness is

(1) 4 *mm*

(2) 5.6 *mm *

(3) 14 *mm*

(4) 28 *mm*

Concept Questions :-

Young Double slit experiment

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In Young's double-slit experiment, the intensity at a point is (1/4) of the maximum intensity. Angular position of this point is :

(1) sin^{-1}(*λ/d*)

(2) sin^{-1}(*λ/*2*d*)

(3) sin^{-1}(*λ/*3*d*)

(4) sin^{-1}(*λ/*4*d*)

Concept Questions :-

Young Double slit experiment

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Difficulty Level: