What is the angular separation of two spectral lines of wavelengths 435 nm and 3

Question

1. What is the angular separation of two spectral lines of wavelengths 435 nm and 357 nm formed in order m=2 with a 385 line/mm grating? Express the answer in degrees with two decimal places.

1. What is the angular separation of two spectral lines of wavelengths 435 nm and 357 nm formed in order m=2 with a 385 line/mm grating? Express the answer in degrees with two decimal places.

What is the angular separation of two spectral lines of wavelengths 435 nm and 357 nm formed in order m=2 with a 385 line/mm grating? Express the answer in degrees with two decimal places.

Explanation / Answer

d sin ?1 = m ?1                             and   d sin?2 = m ?2

here d = 1/385   =   2.6 um

sin ?1 = 2 * 435 nm/2.6 um   = 0.334

?1 = 19.5117 deg

sin ?2 = 2* 357nm/2.6 um = 0.274

?2 = 15.902 deg

angular seperation ? = 19.5117-15.902 = 3.6097 deg

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