physics

posted by .

n a double-slit experiment, two different wavelengths of monochromatic light are used, one wavelength is known and the other is unknown. When the known wavelength (480 nm) is projected through the slits the third-order maximum is located 12 mm from the central bright spot on a screen 1.8 m from the slits. When the unknown wavelength is projected through the slits the second-ordert he second-order maximum is located 14.9 mm from the central bright spot on the screen. What's the unknown wavelength in nm?

  • physics -

    The coordinate (location) of the 3rd maximum relative to the center of the screen is
    x(k) = kLλ/d,
    therefore,
    x(3) = 3•L•λ1/d,
    x(2) = 2•L•λ2/d,
    x(3)/ x(2) =3• λ1/2• λ2,
    λ2 = 3• λ1• x(2)/2• x(3) =3•480• 14.9/ 2• 12 =894 nm.
    Check your given data because this wavelength is out of the visual light range (λ = 400 – 760 nm)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A double-slit interference pattern is created by two narrow slits spaced 0.21 mm apart. The distance between the first and the fifth minimum on a screen 55 cm behind the slits is 6 mm. What is the wavelength of the light used in this …
  2. physics

    When light of wavelength 495 nm passes through a single slit of unknown width, the diffraction pattern displays a fourth-order maximum where the third minimum of light of an unknown wavelength had been observed to fall. What is the …
  3. Physics

    Light containing two different wavelengths passes through a diffraction grating with 1300 slits/cm. On a screen 16.0 cm from the grating, the third-order maximum of the shorter wavelength falls midway between the central maximum and …
  4. Physics

    A mixture of light with wavelength 540 nm and light with wavelength 400 nm is aimed at a pair of slits to produce a double-slit interference pattern. Which of these will be true?
  5. PHYSICS

    Two parallel slits are illuminated by light composed of two wavelengths. One wavelength is λA = 553nm. The other wavelength is λB and is unknown. On a viewing screen, the light with wavelength λA = 553nm produces its …
  6. PHySICS

    A double slit experiment is performed with monochromatic light. The separation between the slits is 1.150mm apart and an interference pattern is noticed on a screen 3.90m away. If the second fringe is 4.20mm from the central fringe, …
  7. physics

    Red light with a wavelength of 660 nm and blue light with a wavelength of 480 nm are beamed at a double slit with a separation of 2x10^-3 mm. The third order maximums for the different colours occur at different spots. What is the …
  8. physics

    Can you please explain how to solve this question?
  9. physics

    Light from sodium lighting passes through a single slit, then through double slit system and is projected on a screen. The separation distance between the slits of the double slits is 1.00mm. The screen is placed at 1.0m from the double …
  10. physics

    A monochromatic light illuminates a double slits system with a slit separation, d =0.3 mm. The maximum of the first order occurs at y = 4.0 mm on a screen placed at 1.0 m from the slits. Find the: a)Wavelength b)Distance between the …

More Similar Questions