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question_answer1) A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distacne between these two objects, which can be resolved by the telescope, when the mean wavelength of light is \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\], of the order of (in mm )
question_answer2) A slit of width \[12\times {{10}^{-7}}\]m is illuminated by light of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\]. The angular width (in degree) of central maximum is approximately?
question_answer3) Light of wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\]incidence over a slit of width\[1\mu m\]. The angular width of central maxima (in degree) will be?
question_answer4) If light of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\]is used in fraunhoffer single slit diffraction experiment with slit width\[12\times {{10}^{-7}}m\]. Then angular width (in degree) of central maxima is?
question_answer5) A telescope has an objective lens of 10 cm diameter and is situated at a distacne of 1 km from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\] is of the order of? (in mm)
question_answer6) Wavelengths of light used in an optical instrument are \[\lambda =4000\overset{\text{o}}{\mathop{\text{A}}}\,\] and \[\lambda =5000\overset{\text{o}}{\mathop{\text{A}}}\,\]. The ratio of their respective resolving power is?
question_answer7) A screen is placed 50 cm from a single slit, which is illuminated with \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\] light. If distance between the first and third minima in the diffraction pattern is 3.00 mm, what is the width (in mm) of the slit?
question_answer8) In a single slit differaction experiment first minimum for red light (660 nm) coincides with first maximum of some other wavelength\[\lambda '\]. Calculate\[\lambda '\].
question_answer9) A parallel beam of light of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\] falls on a single slit of width 0.3 mm and a diffraction pattern is observed on a screen 2 m away from the slit. A point on the screen receives light waves diffracted at angle\[45{}^\circ \]. Find path difference between secondary waves at this point that are emitted by the top end and the midpoint of the slit. (in mm)
question_answer10) The diameter of pupil of eye varies from person to person and also depends on illumination. However, assuming its average value of to be 2mm, find the angular limit (in red) of resolution of human eye for a wavelength 550 nm. Also assume that resolution is limited only by diffraction.
question_answer11) Pupil diameter of a person's eye is 2mm. What should be his maximum distance (in m) so as to distinctly see the mm marks on the scale. \[\left( \lambda =550nm \right)\]
question_answer12) A beam of light of wavelength 550 nm from a distant source falls on a single slit of width \[\frac{1000}{\sqrt{3}}\]nm. Width of central maximum on a screen 1.5 m away from the slit will be? (in m)
question_answer13) The aperture of the objective of a telescope which may be used to resolve stars separated by\[4.48\times {{10}^{-6}}rad\] for light of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\] (in cm)
question_answer14) If diffraction is obtained by using slit of width \[12000\overset{\text{o}}{\mathop{\text{A}}}\,\] and light wavelength \[4000\overset{\text{o}}{\mathop{\text{A}}}\,\] then angular position (in degree) of first maxima is?
question_answer15) In Fraunhoffer diffraction due to a narrow slit a screen is placed 2 m away from the lens to obtain the pattern. If the slit width is 0.2 mm and the first minima lie 5 mm on either side of the central maximum, find the wavelength of light \[(in\overset{\text{o}}{\mathop{\text{A}}}\,)\]
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