Light of wavelength 700nm falls on two slits and produces an interference patter

Question

Light of wavelength 700nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 39mm from the central fringe on a screen 2.8m away.

Part A

What is the separation of the two slits?

Express your answer to two significant figures and include the appropriate units.

Light of wavelength 700nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 39mm from the central fringe on a screen 2.8m away.

Part A

What is the separation of the two slits?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

In interfreence or diffraction pattern

the needed equation is Y = mLR/d---------------1

and d sin theta = mL--------------------2

where L = wavelgnth

m = order = 1,2,3,4, ......... for brigth bands

m = 1.5, 2.5, 3.5, 4.5, ......for dark bands

R is the distance from slit to screen

Y = disatnce from central spot to nth order fringe or fringe width

-------------------------------------------------------------

so here d = mLR/Y

d = 3* 700nm * 2.8/(38mm)

d = 0.154 mm

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