The drawing shows two double slits that have slit separations of d_1 and d_2. Li

Question

The drawing shows two double slits that have slit separations of d_1 and d_2. Light whose wavelength is either lambda_1 or lambda_2 passes through the slits. For co combination of slit separation and wavelength would the pattern of bright screen be (a) the most spread out and (b) the least spread out? (a) separation two and wavelength one (b) separation one and wavelength two (a) separation one and wavelength two (b) separation two and wavelength one (a) separation one and wavelength one (b) separation two and wavelength two (a) separation two and wavelength two (b) separation one and wavelength one

Explanation / Answer

a) The pattern of fringes will be most spread out when the distance between consecutive bright or dark fringes is maximum.

Distance between bright fringes, y = D/d

So, y will be highest for 2 and d1

So, separation one and wavelength two

b) The pattern of fringes will be most spread out when the distance between consecutive bright or dark fringes is minimum.

Distance between bright fringes, y = D/d

So, y will be lowest for 1 and d2

So, separation two and wavelength one

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