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White light is passed through a double slit aand interference pattern is observed on a screen 2.5 away. The separation between the slits is 0.5 mm. The first violet and red fringes are formed 2.0 mm and 3.5 mm away from the central white fringe. Calculate the wavelengths of the violet and the red light.

A

400 nm, 650 nm

B

400 nm, 700 nm

C

350 nm, 200 nm

D

200 nm, 350 nm

Text Solution

Verified by Experts

The correct Answer is:
B
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White light is passed through a doubleslit and interference pattern is observed on a screen 2.5 m away . The seperation between the slits is 0.5 mm . The first violet and red fringers are formed 2.0 mm and 3.5 mm away from the central white fringe . Calculate the wavelengths of violet and the light .

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Knowledge Check

  • A source emitting light of wavelength 480 nm and 600 nm is used in a double slit interference experiment. The separation between the slits is 0.25 mm and the interference is observed on a screen placed at 150 cm from the slits. Find the linear separation between the first maximum (next to the central maximum) corresponding to the two wavelengths.

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    C
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    D
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    A
    `0.36` mm
    B
    `0.18` mm
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    `0.72 ` mm
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    `0.98 ` mm
  • A mica strip and a polystyrene strip are fitted on the two slits of a double slit apparatus. The thickness of the strips is 0.50 mm and the separation between the slits is 0.12 cm. The refractive index of mica and polystyrene are 1.58 and 1.55 respectively for the light of wavelength 590 nm which is used in the experiment. The interference is observed on a screen at a distance one meter away. What would be the fringe width ?

    A
    `2.45 xx 10^(-4)m`
    B
    `4.9 xx 10^(-4)m`
    C
    `9.8 xx 10^(-4)m`
    D
    `10^(-3)m`
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