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Maxima & Minima in YDSE

In YDSE if th...

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In YDSE if the source consists of two wave lengths λ1=4000a° and λ2=4002A° . Find the dis†an ce from centre where fringes disappear if d=1cm;D=1m

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Q. In a YDSE, if the incident light consists of two wavelengths

λ_{1}

λ_{2}

, the slit separation is

d

, and the distance between the slit and the screen is

D

, the maxima due to each wavelength will coincide at a distance from the central maxima, given by

Q. A beam of light consisting of wavelength 6000

˚ A

˚ A

is used in a YDSE with D = 1m and d = 1mm. Find the least distance from central maxima, where bright fringes due to the two wavelengths coincide:

Q. A light source, which emits two wavelengths

λ_{1} = 400

λ_{2} = 600

nm, is used in a Young's double slit experiment. If recorded fringe widths for

λ_{1}

λ_{2}

β_{1}

β_{2}

and the number of fringes for them within a distance y on one side of the central maximum are m

_{1}

_{2}

, respectively, then

Q. Wavelength of light used in an optical instrument are

λ_{1} = 4000 ˚ A

λ_{2} = 5000 ˚ A

then ratio of their respective resolving powers(corresponding to

λ_{1}

λ_{2}

Q. In YDSE, when dichromatic source of light is used we get interference pattern which is obtained by combination of interference pattern due to each wavelength. A black line is obtained on screen where a minima due to each wavelength coincides. Similarly, when polychromatic source is taken say white light source, resulting interference pattern is superimposition of interference pattern from each wavelength as a result at which we get white central bright fringe surrounded by few coloured fringes on both sides of central bright fringe and then uniform illumination of screen. In a typical YDSE set up, distance between slits(D) is 1mm and screen is placed at a distance (D) of 1 m from slits. The source of light used is dichromatic emitting waves of wavelength

λ_{1}

λ_{2}

= 700 nm.

Fringe width due to

λ_{1}

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