In Young's double slit experiment a slit is covered with thin film so

1.	In Young's double slit experiment a slit is covered with thin film so that the optical path difference introduced between coherent waves is Then the new position of central maxima will be at-(1) The initial position of 5th maxima(2) The initial position of 3rd minima(3) The initial position of 2nd minima(4) The initial position of 3rd maxima
Answer» The answer is option (1) The initial position of 5th maxima The condition for the formation of bright fringe is: path difference = dsinθ = n.λ, where n =0, ±1, ±2,.... The central maxima is at n = 0. When one of the slit is covered with a thin film which increases the optical path difference by 5λ, the above equation can be expressed as, dsinθ+5λ = nλ; dsinθ = (n-5)λ = n'λ where n' = 0, ±1, ±2,...... Thus, the central maxima will now be at n' = n-5 = 0. Therefore, n = 5. Thus, the central maxima shifts to the position of the 5th maxima.

In Young's double slit experiment a slit is covered with thin film so that the optical path difference introduced between coherent waves is Then the new position of central maxima will be at-(1) The initial position of 5th maxima(2) The initial position of 3rd minima(3) The initial position of 2nd minima(4) The initial position of 3rd maxima

Answer»

The answer is option (1) The initial position of 5th maxima

The condition for the formation of bright fringe is:
path difference = dsinθ = n.λ, where n =0, ±1, ±2,....
The central maxima is at n = 0.
When one of the slit is covered with a thin film which increases the optical path difference by 5λ, the above equation can
be expressed as,
dsinθ+5λ = nλ;

dsinθ = (n-5)λ = n'λ where n' = 0, ±1, ±2,......
Thus, the central maxima will now be at n' = n-5 = 0.

Therefore, n = 5. Thus, the central maxima shifts to the position of the 5th maxima.

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