A Young's double slit has a slit separation of 2.50 *10 ^- ⁵ m on which a monochromatic light beam is directed. The resultant bright fringes on a screen 1.00 m from the double slit are separated by 2.30 *10 sup- ²m. What is the wavelength of this beam? (1 nm = 10 ^- ⁹ m)

Question

A Young's double slit has a slit separation of 2.50 *10 ^- ⁵ m on which a monochromatic light beam is directed. The resultant bright fringes on a screen 1.00 m from the double slit are separated by 2.30 *10 sup>- ²m. What is the wavelength of this beam? (1 nm = 10 ^- ⁹ m)

Quizplus · Accepted Answer

The correct answer is A because the wavelength of the beam can be calculated using the formula:λ = d * sin(θ) / mwhere d is the slit separation, θ is the angle of the bright fringe from the central fringe, and m is the order of the bright fringe. In this case, d = 2.50 * 10^-5 m, θ = tan^-1(2.30 * 10^-2 m / 1.00 m) = 0.023 rad, and m = 1. Plugging these values into the formula, we get:λ = (2.50 * 10^-5 m) * sin(0.023 rad) / 1= 5.75 * 10^-7 m= 575 nm

A Young's Double Slit Has a Slit Separation of 2