Question

you perform a double-slit experiment in order to measure the wavelength of the new laser that you received for you you set your slit spacing at 1.01 mm and place your screen 8.81 m from the slits. then, you illuminate the slits wit toy and find on the screen that the tenth bright fringe is 4.67 cm away from the central bright fringe (counted as the fringe).

Answer 1

The wavelength of the laser light used in the double-slit experiment is 518 nm.

The question involves calculating the wavelength of light in a double-slit experiment by utilizing the interference pattern data and applying the double-slit interference formula.

Step-by-step explanation:

In a double-slit experiment, the distance between the first bright fringe and the central bright fringe is given by the equation:

d = (λL)/D

Where:

• d is the distance between the fringes
• λ is the wavelength of the light
• L is the distance between the slits and the screen
• D is the separation between the slits

Using the given values, we can rearrange the equation to solve for the wavelength, λ:

λ = (d x D) / L

Substituting the values:

λ = (0.0467 m x 0.00101 m) / 8.81 m

λ = 5.18 x 10-7 m or 518 nm