A Young's double slit has a slit separation of 1.9 × 10−⁵ m on which a monochromatic light beam is directed.The resultant bright fringes on a screen 0.8 m from the double slit are separated by 2.3 × 10−² m.What is the wavelength of this beam? (1 nm = 10−⁹ m)

Question

Quizplus · Accepted Answer

We can use the formula for the double-slit interference:

y = (mλL) / d

Where:
y = distance between the central maximum and m-th bright fringe
m = 1 (since we are looking at the first-order bright fringe)
λ = wavelength of light
L = distance between the double slit and the screen
d = slit separation

Plugging in the given values, we get:

2.3 × 10^(-12) m = (1)(λ)(0.8 m) / 1.9 × 10^(-15) m

Simplifying and solving for λ, we get:

λ = 546 nm

Therefore, the answer is C.

A Young's Double Slit Has a Slit Separation of 1