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In part A of the experiment a pair of slits are illuminated with a laser and an interference pattern is observed. The slit spacing is d = 0.0001 m and the pattern is projected on to the wall a distance L= 2.35 m from the slits. From one dark spot 7 further dark spots are counted and the distance is measured to be Z = 0.093 m.Calculate the wavelength λ of the laser.

Question

In part A of the experiment a pair of slits are illuminated with a laser and an interference pattern is observed. The slit spacing is d = 0.0001 m and the pattern is projected on to the wall a distance L= 2.35 m from the slits. From one dark spot 7 further dark spots are counted and the distance is measured to be Z = 0.093 m.Calculate the wavelength λ of the laser.

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Solution

To calculate the wavelength of the laser, we can use the formula for double-slit interference:

λ = (d * Z) / (m * L)

where:

  • λ is the wavelength,
  • d is the distance between the slits,
  • Z is the distance from the central maximum to the mth dark spot,
  • m is the order of the dark spot, and
  • L is the distance from the slits to the screen.

Given in the problem, we have d = 0.0001 m, Z = 0.093 m, m = 7 (since we are counting 7 dark spots from the central maximum), and L = 2.35 m.

Substituting these values into the formula, we get:

λ = (0.0001 m * 0.093 m) / (7 * 2.35 m)

Now, calculate the above expression to find the wavelength λ.

This problem has been solved

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