spacing question, physics.. please help :)

Question

Light with wavelength 597 nm shines on a double-slit. The first-order bright spot is formed at an angle of 0.146 degrees from the central bright spot. Find the spacing between the slits.
Give your answer in millimeters. You will need to convert your answer to mm before submitting it.
Please retain at least three significant figures while doing all your calculations.

thank you so much!!

Answer 1

Hi Lauren

 

Given

Wave length = 597* 10 ^-9 m

 

Fringe width = Wave length * distance of screen from slits ( center of slits)/ distance between the two slits

W = λ D/ d

= 597* 10 ^-9 D /d

W/D = 597* 10 ^-9/d

also 

angle ( in radian) = W/D =( pi* 0.146/180) = W/D = 597 * 10 ^-9d    ( as angle = arc / radius )

Calculate d from above which will be in m

Convert it into mm