Question

light of wavelength 588 nm is used to illuminate normally two glass plates 23.9 cm in length that touch at one end and are separated at the other by a wire of radius 0.03 mm. how many bright fringes appear along the total length of the plates.

Answer 1

Approximately 82 bright fringes appear along the total length of the plates.

To determine the number of bright fringes that appear along the total length of the plates, we can use the formula:

n = (2L + λ)/(λ * d)

Where:

n is the number of fringes

L is the length of the plates

λ is the wavelength of the light

d is the separation between the plates

Plugging in the given values:

L = 23.9 cm = 0.239 m

λ = 588 nm = 588 x 10^-9 m

d = 0.03 mm = 0.03 x 10^-3 m

Substituting these values into the formula:

n = (2 * 0.239 + 588 x 10^-9)/(588 x 10^-9 * 0.03 x 10^-3)

Simplifying further, we get:

n = 81.703

Therefore, approximately 82 bright fringes appear along the total length of the plates.