a.) Exactly four bright fringes are seen on either seide ofthe central maximum w
ID: 1742955 • Letter: A
Question
a.) Exactly four bright fringes are seen on either seide ofthe central maximum when a diffraction grating is illuminated withyellow-green light of wavelength = 570nm. What is the maximumnumber of lines/m for the grating? b) If violet light of frequency 7.9x10^14 Hz is used with thesame grating, what is the highest order maximum that can beseen? a.) Exactly four bright fringes are seen on either seide ofthe central maximum when a diffraction grating is illuminated withyellow-green light of wavelength = 570nm. What is the maximumnumber of lines/m for the grating? b) If violet light of frequency 7.9x10^14 Hz is used with thesame grating, what is the highest order maximum that can beseen?Explanation / Answer
a) the maximum number of bright fringes that can be seen oneither side of the central maximum occurs when the angle is = 900 the bright fringes in diffraction grating is given as dsin = m or d =m/sin = 4*570*10-9m / sin900 =2.280*10-6m the number of lines per centimeter is N = 1/d = 1/2.280*10-6m = 438596 lines/m b) frequency is f = 7.9*1014 Hz so wavelength = c/f = 3*108m/s / 7.9*1014 Hz = 380*10-9m we have dsin = m m =dsin900 / 380*10-9m =(2.280*10-6m)*1 / 380*10-9m = -------------------- =2.280*10-6m the number of lines per centimeter is N = 1/d = 1/2.280*10-6m = 438596 lines/m b) frequency is f = 7.9*1014 Hz so wavelength = c/f = 3*108m/s / 7.9*1014 Hz = 380*10-9m we have dsin = m m =dsin900 / 380*10-9m =(2.280*10-6m)*1 / 380*10-9m = --------------------Related Questions
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