Question

In young's double slit experiment fringes are obtained on a screen placed at a certain distance away from the slit if the screen is moved by 5 cm towards the slit the fringe width changes by 30 micrometre given the slits are 1 m apart calculate the wavelength of the light used

Answer 1

The wavelength of the light used is 6000 A°

Explanation:

Change in Fringe width "Δβ"= 3 x 10^-5 m

Change in distance between screen and slit "ΔD" = 5 x 10^-2 m

Distance between the slits , d = 10^-3 m

Fringe Width, β =  λ / d D

Thus

Δβ =  λ / d ΔD

λ = d  Δβ /  ΔD

λ =  10^-3 x 3 x 10^-5 /  5 x 10^-2

λ =  6 x 10^-7 m

λ = 6 x 10^-7 x 10 A° = 6000 A°

Hence the wavelength of the light used is 6000 A°

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