In Young’s double-slit experiment, the two slits act as coherent sources of equal amplitude A and wavelength λ. In another experiment with the same set up, the two slits are of equal amplitude A and wavelength λ but are incoherent. The ratio of the intensity of light at the mid-point of the screen in the first case to that in the second case is:

(1) 1 : 2

(2) 2 : 1

(3) 4 : 1

(4) 1 : 1

Subtopic:  Young's Double Slit Experiment |
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A monochromatic beam of light falls on the YDSE apparatus at some angle (say θ) as shown in the figure. A thin sheet of glass is inserted in front of the lower slit S2. 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, the thickness of plate t and refractive index of glass μ

Subtopic:  Young's 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 2πl radian. If there is a maximum in direction D the distance XO using n as an integer is given by

(1) λ2(nl)

(2) λ(n+l)

(3) λ2(n+l)

(4) λ(nl)

Subtopic:  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) sin1nλd

(2) tan1nλd

(3) sin1nλ2d

(4) cos1nλ2d

Subtopic:  Interference vs Diffraction |
 50%
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Two coherent sources separated by distance \(d\) are radiating in a phase having wavelength \(\lambda.\) 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. \(\text{sin}^{-1}\left(\frac{n\lambda}{d}\right )\)
2. \(\text{cos}^{-1}\left(\frac{4\lambda}{d}\right)\)
3. \(\text{tan}^{-1}\left(\frac{d}{4\lambda}\right)\)
4. \(\text{cos}^{-1}\left(\frac{\lambda}{4d}\right)\)

Subtopic:  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) 2bλ+e

(2) 2bλe

(3) 2bλe+e

(4) 2bλee

Subtopic:  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) 1:49π2:425π2

(4) 1:1π2:9π2

Subtopic:  Diffraction |
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A wave is propagating in a medium of electric dielectric constant 2 and relative magnetic permeability 50. The wave impedance of such a medium is

(1) 5 Ω

(2) 376.6 Ω

(3) 1883 Ω

(4) 3776 Ω

Subtopic:  Properties of EM Waves |
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A plane electromagnetic wave of wave intensity 6 W/m2 strikes a small mirror area 40 cm2, held perpendicular to the approaching wave. The momentum transferred by the wave to the mirror each second will be

(1) 6.4×107kgm/s2

(2) 4.8×108kgm/s2

(3) 3.2×109kgm/s2

(4) 1.6×1010kgm/s2

Subtopic:  Particle Nature of Light |
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In Young's double-slit experiment, the intensity at a point is (1/4) of the maximum intensity. The angular position of this point is:

(1) sin-1(λ/d)

(2) sin-1(λ/2d)

(3) sin-1(λ/3d)

(4) sin-1(λ/4d)

Subtopic:  Young's Double Slit Experiment |
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