Question

In a two-slit experiment using coherent light, the distance between the slits and the screen is 1.10 m, and the distance between the slits is 0.100 mm. If the first-order bright fringe is measured to be 3.40 cm from the centerline, what is the wavelength of the light?

Answer 1

The wavelength of the light used in the experiment is 0.374 m.

Step-by-step explanation:

The wavelength of light can be calculated using the formula:

wavelength = (distance from centerline to fringe) × (distance between slits and screen) / (distance between slits)

Plugging in the given values, we have:

wavelength = (0.034 m) × (1.10 m) / (0.100 × 10^(-3) m)

Simplifying the equation gives us:

wavelength = 0.374 m

So, the wavelength of the light used in the experiment is 0.374 m.

Answer 2

Wavelength of the light = 3.09 meter

Step-by-step explanation:

Given:

Distance between slits and the screen = 1.1 meter

Distance between slits = 0.1 mm

First-order bright fringe = 3.40 cm from centerline

Find:

Wavelength of the light

Computation:

Distance between slits = 0.1 mm

Distance between slits = 0.0001 meter

First-order bright fringe = 3.40 cm from centerline = 0.034 meter

Wavelength of the light = [(Distance between slits)(First-order bright fringe)]/Distance between slits and the screen

Wavelength of the light = [(0.0001)(0.034)] / 1.1

Wavelength of the light = [(0.0001)(0.034)] / 1.1

Wavelength of the light = 3.09 meter