In a double-slit experiment, at a certain point on the screen, the path difference between the two interfering waves is of a wavelength. The ratio of the intensity of light at that point to that at the center of a bright fringe is?
Step 1:Given data:
In a double-slit experiment, the path difference between the two interfering waves is given as of a wavelength.
Hence,
Where Path difference
wavelength of the two interfering waves.
Step 2: Calculating Phase difference :
The phase difference between two waves can be given as:
Phase difference
Step 3: Calculating the intensity ratio:
According to the Young's double-slit experiment, we know that at any point, intensity can be given as:
Where, I = Intensity of light at the given point
The maximum intensity of light at the center of a bright fringe.
Hence, putting all the given values we can calculate the ratio of the intensities of light as:
Thus, the ratio of the intensity of light at the given point to that at the center of a bright fringe is . Hence, option B is correct.