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In a biprism experiment with sodium ligh...

In a biprism experiment with sodium light,bands of width `0.0195cm` are observed at`100cm` from slit.On introducing a convex lens `30cm` away from the silt between biprism and screen,two images of the slit are seen`0.7cm`apart of `100cm` distance from the slit .Calcualte the wavelength of sodium light .

Text Solution

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The correct Answer is:
`l = 5850 Å`
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Interference fringers are produced by a Fresnel's biprism in the focal plane of reading microscope which is 100 cm from the slit. A lens interposed between the biprism and the microscope gives two images of the slit in two positions.If the images of the slits are 4.05 mm apart in one case, 2.90 mmin the other and the wavelength of light used is 5893 Å, find the distance between two consecutive bands.

Fringes are produced by a Fresnel's biprism in focal plane of a reading microscope which is 100cm from the slit. A lens inserted between the biprism and the eyepiece gives two images of the slit in two positions of the lens. In one case the two images of the slit are 0.45 mm apart in the other case 2.90 mm apart. If sodium light of wavelength 5893Å used, find the width of the interference fringes. If the distance between the slit and biprism is 10cm and refractive index of the material of the biprism is 1.5, calculate the angle in degrees which the inclined faces of the biprism makes with its base.

Knowledge Check

  • Calculate the wavelength of sodium light In a biprism experiment with sodium light, bands of width 0.0195 cm are observed at 100 cm from slit given On introducing a convex lens 30 cm away from the slit between biprism and screen, two images of the slit are seen 0.7 cm apart at 100 cm distance from the slit.

    A
    `lamda = 445 0 Å`
    B
    `lamda = 5850 Å`
    C
    `lamda = 3650 Å`
    D
    `lamda = 6750Å`

  • In a double experiment, the distance between the slit is 1 mm and screen is 25 cm away from the slits. The wavelength of light is 6000Å . The width of the fringe on the screen is

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    B
    0.24 mm
    C
    0.30 mm
    D
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