Two waves are emitted with the same phase from two coherent sources.th...
Calculation of Phase Difference:
- The wavelength of each wave is given as 3000 Å.
- The path difference between the two waves is given as 6000 Å.
- We know that the phase difference is given by the formula: phase difference = (path difference) / (wavelength)
- Substituting the given values, we get: phase difference = 6000 Å / 3000 Å = 2 radians.
Explanation of Interference:
- Interference occurs when two or more waves superpose or combine with each other.
- In this case, since the two waves are emitted from coherent sources, they have the same frequency and constant phase relationship.
- The path difference between the waves is 6000 Å, which corresponds to a phase difference of 2 radians.
- When the two waves superpose, they will interfere constructively or destructively depending on the phase difference.
- If the phase difference is an integer multiple of 2π radians (360 degrees), the waves will interfere constructively and result in a bright fringe.
- If the phase difference is an odd multiple of π radians (180 degrees), the waves will interfere destructively and result in a dark fringe.
- In this case, the phase difference of 2 radians is not an integer multiple of 2π radians or an odd multiple of π radians.
- Therefore, the interference that will occur is a combination of constructive and destructive interference, resulting in a pattern with alternating bright and dark fringes.
- This type of interference is known as partial interference or incomplete interference.
Summary:
- The phase difference between the last two points of the two waves is 2 radians.
- The interference that occurs with this phase difference is partial interference or incomplete interference, resulting in a pattern with alternating bright and dark fringes.
Two waves are emitted with the same phase from two coherent sources.th...
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