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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A beam of electron is used in a YDSE experiment. The slit width is d. When the velocity of the electron is increased, then,

(1) No interference is observed

(2) Fringe width increases

(3) Fringe width decreases

(4) Fringe width remains the same

Concept Questions :-

Young Double slit experiment

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If the separation between screen and source is increased by 2% what would be the effect on the intensity :

(1) Increases by 4%

(2) Increases by 2%

(3) Decreases by 2%

(4) Decreases by 4%

Concept Questions :-

Young Double slit experiment

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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 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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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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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 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 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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