A beam of light in a vacuum passes through a diffraction grating.The frequency i

Question

A beam of light in a vacuum passes through a diffraction grating.The frequency is 6.00 x 10^14 Hz.
If the interference pattern appears on a screen located 2.00 mfrom the diffraction grating, what is the maximum number of brightlines visible in the pattern if the screen goes all the way toinfinity?
Thanks in advance.
If the interference pattern appears on a screen located 2.00 mfrom the diffraction grating, what is the maximum number of brightlines visible in the pattern if the screen goes all the way toinfinity?
Thanks in advance.

Explanation / Answer

You have to use .      m = dsin        where we willset to the max possible value of 90 degrees. . Also, d is the distance between the slits in thegrating. Since you didn't give that, I will assume it wasoverlooked. . Then   = c / f = 3 x108 / 6.00 x 1014 =   5.00 x 10-7 meters . Now you plug in the values and. .     m * 5.00 x10-7 = d sin90 .     m = d / 5.00 x10-7   meters . Once you find m, the number of bright lines is   m +m + 1   (m on each side and one in the middle). . Again... I can't fully answer your question because you didnot provide enough information. You MUST tell me the spacing of thediffraction grating (d) to calc an answer to your question. Also,the 2.00 meters is irrelevant.

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