Question 30 of 191
In a Young double slit experiment, the wavelength of incident light is Å, the separation between slits and is cm and the distance between slits plane and screen is cm, as shown in the figure below. If the resultant intensity at is equal to the intensity due to individual slits, the path difference between interfering waves is __________ Å.

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Answer: (C)
Let the intensity due to each individual slit be .
The resultant intensity at a point where the phase difference is is given by:
Given that and the resultant intensity , we can substitute these values into the equation:
The minimum phase difference satisfying this condition is:
The relationship between phase difference and path difference is:
Substituting the value of :
Given the wavelength :
Answer:
The resultant intensity at a point where the phase difference is is given by:
Given that and the resultant intensity , we can substitute these values into the equation:
The minimum phase difference satisfying this condition is:
The relationship between phase difference and path difference is:
Substituting the value of :
Given the wavelength :
Answer: