Question

In: Physics

A laser beam of wavelength 580nm is incident normally on a transmission grating having 440lines/mm ....

A laser beam of wavelength 580nm is incident normally on a transmission grating having 440lines/mm .

Find the angles of deviation in the first, second, and third orders of bright spots.

Expert Solution

diffracion grating principle maxima

sin? = m ? / d

Given

wave length of laser light ? = 580 nm

d = 1 / 440 * 10^ -3 m

= 2.273*10^ -6 m

angle of deviation for first order

sin ? = ? / d

= 580 *10^ -9 / 2.273*10^ -6

= 0.255

? = 14.78 degrees

angle of deviation for second order

sin ? = 2? / d

= 2* 580 *10^ -9 / 2.273*10^ -6

= 0.510

? = 30.69 degrees

angle of deviation for third order

sin ? = 3 ? / d

= 3 *580 *10^ -9 / 2.273*10^ -6

= 0.7665

? =49.95 degrees

genius_generous answered 1 hour ago

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