A beam of light consisting of two wavelength `800 nm and 600 nm` is used to obtain the interference fringes in YDSE on a screen held `1.4 m` away. If the two slits are separated by `0.28 mm`, calculate the least distance from thecentral bright maximum, where the bright fringes of the two waveength coincide.
A beam of light consisting of two wavelength `800 nm and 600 nm` is used to obtain the interference fringes in YDSE on a screen held `1.4 m` away. If the two slits are separated by `0.28 mm`, calculate the least distance from thecentral bright maximum, where the bright fringes of the two waveength coincide.
Text Solution
AI Generated Solution
To solve the problem of finding the least distance from the central bright maximum where the bright fringes of the two wavelengths coincide, we can follow these steps:
### Step 1: Understand the formula for fringe position
The position of the bright fringes in Young's Double Slit Experiment (YDSE) is given by the formula:
\[
x = \frac{n \lambda D}{d}
\]
where:
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(a) In Young's double slit experiment, derive the condition for (i) constructive interference and (ii) destructive interference at a point on the screen. (b) A beam of light consisting of two wavelengths, 800 nm and 600 nm is used to obtain the interference frings in a Young's double slit experiment on a screen placed 1.4 m away. If the two slits are separated by 0.28 mm, calculate the least distance from the central bright maximum where the bright fringes of the two wavelengths coincide.
(a) In Young's double-slit experiment, derive the condition for (i) constructive interference and (ii) destructive interference ata point on the screen. (b) A beam of light consisting of two wavelenths, 800 nm and 600 nm is used to obtain the interference fringes in a Young's double-slit experiment on a screen placed 1.4m away. if the two slits are separated by 0.28 mm, calculate the least distance from the central bright maximum where the bright fringes of the two wavelengths coincide.
Knowledge Check
A beam of light consisting of two wavelengths 6500Å and 5200Å is used to obtain interference fringes in YDSE. The distance between slits is 2mm and the distance of the screen form slits is 120 cm. What is the least distance from central maximum where the bright due to both wavelengths coincide?
A beam of light consisting of two wavelengths 6500Å and 5200Å is used to obtain interference fringes in YDSE. The distance between slits is 2mm and the distance of the screen form slits is 120 cm. What is the least distance from central maximum where the bright due to both wavelengths coincide?
A
0.156cm
B
0.312cm
C
0.078cm
D
0.468cm
In a Young's double slit experiment, slits are separated by 0.5 mm and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm , is used to obtain interference fringes on the screen. The least distance from the commom central maximum to the point where the bright fringes fue to both the wavelengths coincide is
In a Young's double slit experiment, slits are separated by 0.5 mm and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm , is used to obtain interference fringes on the screen. The least distance from the commom central maximum to the point where the bright fringes fue to both the wavelengths coincide is
A
`9.75 mm`
B
`15.6 mm`
C
`1.56 mm`
D
`7.8 mm`
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A beam of light consisting of two wavelength 800 nm and 600 nm is used to obtain the interference pattern in young’s double slit experiment on a screen placed 1.4 m away. If the separation between two slits in 0.28 mm. Calculate the least distance from the central bright maximum, where the bright fringes of two wavelength coincide.
A beam of light consisting of two wavelengths, 650 nm and 520 nm is used to obtain interference fringes in Young's double-slit experiment. What is the least distance (in mm) from a central maximum where the bright fringes due to both the wavelengths coincide? The distance between the slits is 3 mm and the distance between the plane of the slits and the screen is 150 cm.
A beam of light consisting of two wavelengths, 650 nm and 520 nm is used to obtain interference fringes in Young's double-slit experiment. What is the least distance (in mm) from a central maximum where the bright fringes due to both the wavelengths coincide? The distance between the slits is 3 mm and the distance between the plane of the slits and the screen is 150 cm.
A beam of light consisting of two wavelengths, 650 nm and 520 nm is used to obtain interference fringes in Young's double-slit experiment. What is the least distance (in m) from a central maximum where the bright fringes due to both the wavelengths coincide ? The distance between the slits is 3 mm and the distance between the plane of the slits and the screen is 150 cm.
A light consisting of two wavelengths 650 nm and 520 nm is used to obtain interference fringes in a Young's double slit experiment. Find the least distance (in mm) from a central maximum where the bright fringes due to both the wavelengths coincide? It is given that the distance between the slits is 3 mm and the distance between the plane of the slits and screen is 150 cm.
A beam of light consisting of two wavelength, 6500 Å and 5200 Å is used to obtain interference fringes in a Young's double slit experiment. Find the distance of the third fringe on the screen from the central maximum for the wavelength 6500Å . What is the least distance from the central maximum at whixh the bright fringes due to both wavelengths coincide? The distance between the slits is 2 mm and the distance between the plane of the slits and the screen is 120 cm.