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question_answer1) In a certain double slit experiment arrangement, interference fringes of width 1.0 mm each are observed when light of wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\]is used. Keeping the set-up unaltered if the source is replaced by another of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\], the fringe width will be (in mm)?
question_answer2) Monochromatic green light of wavelength \[5\times {{10}^{-7}}m\] illuminates a pair of slits 1 mm apart. The separation of bright lines in the interference pattern formed on a screen 2 m away is (in mm)?
question_answer3) In a Biprism experiment, if the wavelength of red light used is \[6.5\times {{10}^{-7}}m\]and that of green is \[5.2\times {{10}^{-7}}m\], the value of n for which \[{{\left( n+1 \right)}^{th}}\]green bright band coincides with the \[{{n}^{th}}\]red bright band for the same setting is given by-
question_answer4) A mixture of light waves having wavelength 560 nm & 400 nm falls normally on a YDSE setup. The distance between the slits is 0.1 mm and the distance of the screen from the slits is 1 m. Distance between two successive total dark regions is (in cm)?
question_answer5) Two slits are separated by 0.3 mm. A beam of 500 nm light strikes the slits producing an interference pattern. The number of maxima observed in the angular range\[-30{}^\circ <\theta <30{}^\circ \].
question_answer6) A double slit arrangement produces interference fringes for sodium light \[\left( \lambda =500nm \right)\]that has angular separation of\[0.2{}^\circ \]. Wavelength for which the angular separation be 20% greater \[{{\lambda }_{0}}\]nm. Find\[{{\lambda }_{0}}/120\]?
question_answer7) White light is used in a Young's double slit experiment. Find the minimum order of the violet fringe\[\left( \lambda =400nm \right)\]which overlaps with a red fringe\[\left( \lambda =700nm \right)\].
question_answer8) In a Young's double slit experiment using monochromatic light, the fringe pattern shifts by a certain distance on the screen when a mica sheet of refractive index 1.6 and thickness 1.964 micron\[(1\text{ }micron={{10}^{-6}}m)\] is introduced in the path of one of the interfering waves. The mica sheet is then removed and the distance between the screen and the slits is doubled. It is found that the distance between the successive maxima now is the same as the observed fringe-shift upon the introduction of the mica sheet. The wavelength of the monochromatic light used in the experiment is\[118\times anm\]. Find a.
question_answer9) A screen is at a distance \[D=80cm\]from a diaphragm having two narrow slits \[{{S}_{1}}\]and \[{{S}_{2}}\]which are\[d=2mm\]apart. Slit \[{{S}_{1}}\] is covered by a transparent sheet of thickness \[{{t}_{1}}=2.5\mu m\]and \[{{S}_{2}}\]by another sheet of thickness \[{{t}_{2}}=1.25\mu m\]as shown in figure. Both sheets are made of same material having refractive index\[\mu =1.40\]. Water is filled in space between diaphragm and screen. A monodichromatic light beam of wavelength \[\lambda =5000~\overset{\text{o}}{\mathop{\text{A}}}\,\] is incident normally on the diaphragm. Assuming intensity of beam to be uniform and slits of equal width, calculate ratio of intensity at C to maximum intensity of interference pattern obtained on the screen, where C is foot of perpendicular bisector of \[{{S}_{1}}{{S}_{2}}.\] (Refractive index of water,\[{{\mu }_{W}}=4/3\]). If it is\[\frac{a}{4}\]. Find\[a\].
question_answer10) A double slit \[{{S}_{1}}-{{S}_{2}}\]is illuminated by a coherent light of wavelength\[\lambda \]. The slits are separated by a distance d. A plane mirror is placed in front of the double slit at a distance \[{{D}_{1}}\]from it and a screen \[\Sigma \]is placed behind the double slit at a distance \[{{D}_{2}}\]from it (Figure). The screen \[\Sigma \]receives only the light reflected by the mirror. Find the fringe-width of the interference pattern on the screen in mm. \[({{D}_{1}}=1meter,\,\,{{D}_{2}}=2\,meter,\,\,\lambda =1000~\overset{\text{o}}{\mathop{\text{A}}}\,,\text{ }d=0.1mm)\]
question_answer11) Two coherent narrow slits \[{{S}_{1}}\] and \[{{S}_{2}}\]emitting light of wavelength \[\lambda \]in the same phase are placed parallel to each other at a small separation of\[3\lambda \]. The light is collected on a screen S which is placed at a distance\[D(>>\lambda )\] from the slit \[{{S}_{1}}\] and shown in figure. The distance x such that the intensity at point P is equal to the intensity at O is\[\frac{D}{2\sqrt{5}}\times a\]. Find the value of\[a\].
question_answer12) In a \[YDSE\]experiment two slits \[{{S}_{1}}\]and \[{{S}_{2}}\]have separation of\[d=2mm\]. The distance of the screen is\[D=8/5m\]. Source S starts moving from a very large distance towards \[{{S}_{2}}\]perpendicular to \[{{S}_{1}}{{S}_{2}}\] as shown in figure. The wavelength of monochromatic light is 500 nm. The number of maximas observed on the screen at point P as the source moves towards \[{{S}_{2}}\]is\[3995+n\]. Find the value of n.
question_answer13) In a typical Young's double slit experiment a point source of monochromatic light is kept as shown in the figure. If the source is given an instantaneous velocity \[v=1\]mm per second towards the screen, then the instantaneous velocity of central maxima is given as \[a\times {{10}^{-\beta }}\]m/s upward. Find the value of \[a+\beta \]
question_answer14) In Young's double slit experiment mixture of two light wave having wavelengths\[{{\lambda }_{1}}=500nm\] and \[{{\lambda }_{2}}=700nm\] are being used. Find the position next to central maxima, where maximas due to both waves coincides is \[\frac{7}{a}\]then find the value of a is (Given \[\frac{D}{d}=1000\])
question_answer15) A plane light wavelength\[\lambda =0.70\mu m\] falls normally on the base of a biprism made of glass \[(n=1.520)\] with refracting angle\[\theta =5.0{}^\circ \]. Behind the biprism, there is a plane parallel plate, with the space between them filled up with benzene\[(n'=1.500)\]. The width of a fringe on the screen placed behind this system is \[\frac{a}{10}\]then find the value of a is
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