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Wave Optics

Question
CBSEENPH12038411

In Young's double-slit experiment how many maximas can be obtained on a screen (including the central maximum) on both sides of the central fringe if λ = 2000 Å and d = 7000Å. Given that perpendicular distance of a screen from the mid-point of two slits is 3.5 cm.

Solution
For,  
Wavelength, λ = 2000 Å
Distance between the slits, d = 7000Å 
Perpendicular distance of a screen from the mid point of two slits = 3.5 cm

Maximum intensity on the screen 

              d sin θ = n λ 

i.e.,            sin θ = d = n(2000)(7000) = n3.5 

Since,                            sin θ 1                  n = 0, 1, 2, 3  only 

Thus, a total of only seven maximas can be obtained on both sides of the screen.