A Young's double slit has a slit separation of 1.65 × 10−⁵ m on which a monochromatic light beam is directed.The resultant bright fringes on a screen 1.10 m from the double slit are separated by 2.25 × 10−² m.What is the wavelength of this beam? (1 nm = 10−⁹ m)

Question

Quizplus · Accepted Answer

The distance between the bright fringes is given by:

d = λD/d

where λ is the wavelength of the light, D is the distance from the double slit to the screen, and d is the slit separation.

Substituting the given values:

2.25 × 10^-12 m = λ(1.10 m)/(1.65 × 10^-15 m)

Solving for λ:

λ = (2.25 × 10^-12 m) x (1.65 × 10^-15 m) / (1.10 m) = 336.8 nm

Converting to nanometers:

λ = 337 nm

Therefore, the best choice is C.

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