19) A laser beam is shown through a grating and the first-order maximum is produ

Question

19) A laser beam is shown through a grating and the first-order maximum is produced at 17o. What is the highest order maximum that can be produced by this arrangement ? 20) What is the highest order maximum that is possible when using a grating with 600 slits per mm for a wavelength of 700 nm ? 19) A laser beam is shown through a grating and the first-order maximum is produced at 17o. What is the highest order maximum that can be produced by this arrangement ? 20) What is the highest order maximum that is possible when using a grating with 600 slits per mm for a wavelength of 700 nm ?

Explanation / Answer

Wave length of laser light is   633 nm The first order maximum is at 17^o              d sin ? = m ?                d sin 17 = (1)(633*10^ -9 m )                   d = 2.165 micro meters    highest that can be produced at 90 ^o              m = d / ?                  = 2.165 *10^ -6 / 633 *10^ -9                   = 3.42 the highest order is 3rd   order   .
d sin ? = m ?        sin ? / N = m ? highest that can be produced at 90 ^o               m = 1 / N ?                    = 1 / ( 600*10^ 3 )(700*10^-9)                   = 2.38 higest order is 2 Wave length of laser light is   633 nm The first order maximum is at 17^o              d sin ? = m ?                d sin 17 = (1)(633*10^ -9 m )                   d = 2.165 micro meters    highest that can be produced at 90 ^o              m = d / ?                  = 2.165 *10^ -6 / 633 *10^ -9                   = 3.42 the highest order is 3rd   order   .
d sin ? = m ?        sin ? / N = m ? highest that can be produced at 90 ^o               m = 1 / N ?                    = 1 / ( 600*10^ 3 )(700*10^-9)                   = 2.38 higest order is 2 Wave length of laser light is   633 nm The first order maximum is at 17^o              d sin ? = m ?                d sin 17 = (1)(633*10^ -9 m )                   d = 2.165 micro meters    highest that can be produced at 90 ^o              m = d / ?                  = 2.165 *10^ -6 / 633 *10^ -9                   = 3.42 the highest order is 3rd   order   .
d sin ? = m ?        sin ? / N = m ? highest that can be produced at 90 ^o               m = 1 / N ?                    = 1 / ( 600*10^ 3 )(700*10^-9)                   = 2.38 higest order is 2

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