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question_answer1) In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength \[\lambda =500\] nm is incident on the slits. The total number of bright fringes that are observed in the angular range \[-\text{ }30{}^\circ \le \theta \le 30{}^\circ \] is
question_answer2) In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is \[\frac{1}{8}th\] of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is
question_answer3) In a double - slit experiment, green light \[(5303\overset{\text{o}}{\mathop{\text{A}}}\,)\] falls on a double slit having a separation of \[19.44\mu m\] and a width of\[4.05\mu m\]. The number of bright fringes between the first and the second diffraction minima is:
question_answer4) In an interference experiment the ratio of amplitudes of coherent waves is \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{1}{3}\]. The ratio of maximum and minimum intensities of fringes will be:
question_answer5) Calculate the limit of resolution (in radian) of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star.
question_answer6) A beam of light of wavelength 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance (in m) between the first dark fringes one other side of the central bright fringe is
question_answer7) The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\] is used, the minimum separation (in \[\mu m\]) between two points, to be seen as distinct, will be:
question_answer8) A system of three polarizers \[{{P}_{1}},\,\,{{P}_{2}},\,\,{{P}_{3}}\] is set up such that the pass axis of \[{{P}_{3}}\] is crossed with respect to that of \[{{P}_{1}}\]. The pass axis of \[{{P}_{2}}\] is inclined at \[60{}^\circ \] to the pass axis of \[{{P}_{3}}\]. When a beam of unpolarized light of intensity \[{{I}_{0}}\] is incident on \[{{P}_{1}}\], the intensity of light transmitted by the three polarizers is I. The ratio \[({{I}_{0}}/I)\] equals (nearly):
question_answer9) There are two sources kept at distances \[2\lambda .\] A large screen is perpendicular to line joining the sources. Number of maximas on the screen in this case is (\[\lambda =\] wavelength of light)
question_answer10) A Young's double slit interference arrangement with slits \[{{S}_{1}}\] and \[{{S}_{2}}\] is immersed in water (refractive index \[=\frac{4}{3}\] ) as shown in the figure. The positions of maximum on the surface of water are given by\[{{x}^{2}}={{p}^{2}}{{m}^{2}}{{\lambda }^{2}}-{{d}^{2}}\], where \[\lambda \] is the wavelength of light in air (refractive index = 1), 2d is the separation between the slits and m is an integer. The value of p is
question_answer11) Two waves of the same frequency have amplitudes 2 and 4. They interfere at a point where their phase difference is \[60{}^\circ .\] Find their resultant amplitude.
question_answer12) In an interference pattern, at a point there observe \[{{16}^{th}}\] order maximum for \[{{\lambda }_{1}}=6000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. What order will be visible here if the source is replaced by light of wavelength \[{{\lambda }_{2}}=4800\overset{\text{o}}{\mathop{\text{A}}}\,\]?
question_answer13) Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm, coming from a distant object, the limit of resolution of the telescope (in radian) is
question_answer14) A young's double-slit arrangement produces interference fringes for sodium light \[(\lambda =5890\,\overset{\text{o}}{\mathop{\text{A}}}\,)\] that are \[0.20{}^\circ \] apart. What is the angular fringe separation (in degree) if the entire arrangement is immersed in water? (Refractive index of water is 4/3).
question_answer15) A beam of plane polarised light falls normally on a polariser (cross - sectional area \[3\times {{10}^{-4}}{{m}^{2}}\]) which rotates about the axis of the ray with an angular velocity of 31.4 rad/s. Fin the energy of light (in joule) passing through the polariser per revolution if flux of energy of the incident ray is \[{{10}^{-3}}W.\]
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