Two narrow slits are illuminated by a laser with a wavelength of 593 nm. The interference pattern on a screen located x = 4.80 m away shows that the fourth-order bright fringe is located y = 8.20 cm away from the central bright fringe. Calculate the distance between the two slits.

The distance is  

Explanation:

From the question we are told that

   The wavelength is  

    The distance of the screen is   x  =  4.80 m

    The  location of the fourth order bright fringe is  y  =  8.20 cm = 0.082 m

    The order of the fringe is  n  =  4

Generally the position of a fringe with respect to the central fringe is mathematically represented as

Where d is the distance between the slits, so making d the subject

substituting values

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle