In Young’s Double-slit Experiment, The Two Slits Act As Coherent Sources Of Equal Amplitude A and Of Wavelength λ. In Another Experiment With The Same Setup, The Two Slits Are Sources Of Equal Amplitude A and Wavelengthλ, But Are Incoherent. The Ratio Of Intensity Of Light At The Mid-point Of The Screen In The First Case To That In The Second Case Is  

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Question

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

Solution

Correct option is

2 : 1

 

In the first case,

                 

  

In the second case,

               

  

SIMILAR QUESTIONS

Q1

The maximum intensity in Young’s double-slit experiment is I0. Distance between the slits is d = 5λ, where λ is the wavelength of monochromatic light used in the experiment. What will be the intensity of light in front of one of the slits on a screen at a distance D = d?       

Q2

Two identical coherent sources are placed on a diameter of a circle of radius R at separation x (<< R) symmetrical about the centre of the circle. The sources emit identical wavelength λ each. The number of points on the circle of maximum intensity is (x = 5λ).  

Q3

In Young’s double-slit experiment  (d = distance between slits, D = distance of screen from the slits). At a point P on the screen, resulting intensity is equal to the intensity due to the individual slitI0. Then, the distance of point P from the central maximum is (λ = 6000 Ã…)

Q4

To produce a minimum reflection of wavelength near the middle of visible spectrum (550 nm) how thick should a coating of MgF(μ = 1.38) be vacuum-coated on a glass surface?   

Q5

A thin film of refractive index 1.5 and thickness 4 × 10–5 cm is illuminated by light normal to the surface. What wavelength within the visible spectrum will be intensified in the reflected beam?

Q6

A plane wave of monochromatic light falls normally on a uniform thin film of oil which covers a glass plate. The wavelength of source can be varied continuously. Complete destructive interference is observed for λ = 5000Ã… and λ = 1000 Ã… and for no other wavelength in between. If μ of oil is 1.3 and that of glass is 1.5, the thickness of the film will be  

Q7

A light ray frequency v and wavelength λ enters a liquid of refractive index . The ray travels in the liquid with  

Q8

In a double-slit experiment, instead of taking slits of equal width, one slit is made twice as wide as the other. Then, in the interference pattern

Q9

Light of wavelength λ = 5890 Ã… falls on a double-slit arrangement having separation d = 0.2 mm. A thin lens of focal length f = 1 m is placed near the slits. The linear separation of fringes on a screen placed in the focal plane of the lens is   

Q10

In Young’s double-slit interference experiment, if the slit separation is made threefold, the fringe width becomes