In a double-slit experiment, two beams of coherent light traveling different paths arrive on a screen some distance away. What is the path difference between the two waves corresponding to the third bright band out from the central bright band?
The path difference between the two waves is three wavelengths.
The path difference between the two waves is two wavelengths.
The path difference between the two waves is four wavelengths.
The path difference between the two waves is one-half of a wavelength.
The path difference between the two waves is one and one-half wavelengths.
The path difference between the two waves is one wavelength.
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Two beams of coherent light travel different paths, arriving at point P. If the maximum destructive interference is to occur at point P, what should be the path difference between the two waves?
Two beams of coherent light travel different paths, arriving at point P. If the maximum destructive interference is to occur at point P, what should be the path difference between the two waves?
The path difference between the two waves should be one and one-quarter of a wavelengths.
The path difference between the two waves should be two wavelengths.
The path difference between the two waves should be one-half of a wavelength.
The path difference between the two waves should be one wavelength.
The path difference between the two waves should be one-quarter of a wavelength.
The path difference between the two waves should be four wavelengths.
In a double-slit experiment, the path difference between the interference waves depends on the position of the bright and dark bands on the screen. The path difference can be calculated using the formula:
Path Difference = d * sin(theta)
Where:
- d is the distance between the two slits,
- theta is the angle between the central bright band and the desired bright band.
The third bright band out from the central bright band corresponds to an angle theta of approximately 0.608 radians.
Assuming that each slit-to-screen distance is equal (d), the path difference for the third bright band can be calculated as follows:
Path Difference = d * sin(0.608)
Since the question does not provide specific values for d or wavelength, it is not possible to determine the exact path difference. Therefore, none of the provided answer options is correct.
To determine the path difference between the two waves corresponding to the third bright band out from the central bright band in a double-slit experiment, we can use the equation:
Path Difference = (wavelength * Distance to Screen) / Distance between Slits
In this case, the distance to the screen and the distance between slits are not mentioned in the question. Therefore, we cannot directly calculate the exact value of the path difference.
However, we can make an assumption based on the given options. Among the provided options, only one option states a fractional value for the path difference: "The path difference between the two waves is one-half of a wavelength."
In a double-slit experiment, the bright bands occur when the path difference between the two waves is a whole number of wavelengths. Therefore, if the path difference for the third bright band is a fractional value of one-half wavelength, it would not correspond to a bright band.
Hence, from the given options, we can conclude that none of them accurately represent the path difference for the third bright band out from the central bright band.