
In YDSE, having slits of equal width, let be the fringe width and be the maximum intensity. At a distance from the central bright fringe, the intensity will be
A.
B.
C.
D.
Answer
501.3k+ views
Hint: We can solve this problem with the Young’s double slit experiments. This experiment is the proof of the dual nature of light. In this experiment wave theory of light is explained. In this experiment, we use a screen with two slits and an optical screen at which we get interference patterns.
Complete answer:
In YDSE, we break a single monochromatic light source into two coherent sources by placing the screen having two slits in front of a single light source and the optical screen is “D” distance away from the silts. If we take a point on the optical screen distance from the centre then waves from the both silts have to travel different paths to reach the point due to which path difference is created.
Diagram for YDSE is given below,
Constructive and destructive interference is formed on the screen so alternate dark and bright fringe appears on the screen. Fringe width is the distance between the two adjacent fringes.
Its formula is : where is the wavelength of light and is the distance between the slits.
Intensity of light at the any point on the screen can be calculate by this formula:
where is the intensity from the slits source and is the phase difference.
For the given question, we know that and then,
From the formula of the intensity of interference, we get intensity at any point that can also be shown as: where is the maximum intensity.
Hence,
At a distance from the central bright fringe, the intensity will be .
So, the correct answer is “Option C”.
Note:
In YDSE, brightness and darkness of fringes depends upon the many things such as size of both slits should be same and not be larger, the light sources should be monochromatic. From these experiments, it is proved that the light has wave and particle nature.
Complete answer:
In YDSE, we break a single monochromatic light source into two coherent sources by placing the screen having two slits in front of a single light source and the optical screen is “D” distance away from the silts. If we take a point
Diagram for YDSE is given below,
Constructive and destructive interference is formed on the screen so alternate dark and bright fringe appears on the screen. Fringe width is the distance between the two adjacent fringes.
Its formula is :
Intensity of light at the any point on the screen can be calculate by this formula:
For the given question, we know that
From the formula of the intensity of interference, we get intensity at any point that can also be shown as:
Hence,
At a distance
So, the correct answer is “Option C”.
Note:
In YDSE, brightness and darkness of fringes depends upon the many things such as size of both slits should be same and not be larger, the light sources should be monochromatic. From these experiments, it is proved that the light has wave and particle nature.
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