27.3 Young’s Double Slit Experiment

Superposition of which of the following light waves may produce interference fringes? Select two answers.

Wave₁ = A₁sin(2ωt)

Wave₂ = A₂sin(4ωt)

Wave₃ = A₃sin(2ωt + θ)

Wave₄ = A₄sin(4ωt + θ).

1. Wave₁ and Wave₂
2. Wave₂ and Wave₄
3. Wave₃ and Wave₁
4. Wave₄ and Wave₃

In a double slit experiment, a student measures the maximum and minimum intensities when two waves with equal amplitudes are used. The student then doubles the amplitudes of the two waves and performs the measurements again. Which of the following will remain unchanged?

1. The intensity of the bright fringe
2. The intensity of the dark fringe
3. The difference in the intensities of consecutive bright and d…

What will be the amplitude of the central fringe if the amplitudes of the two waves in a double slit experiment are a and 3a?

1. 2a
2. 4a
3. 8a²
4. 16a²

At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?

What is the separation between two slits for which 610-nm orange light has its first maximum at an angle of $\text{30} . 0º$?

Calculate the wavelength of light that has its third minimum at an angle of $\text{30} . 0º$ when falling on double slits separated by $3 . \text{00} \mu\text{m}$. Explicitly, show how you follow the steps in Problem-Solving Strategies for Wave Optics.

At what angle is the fourth-order maximum for the situation in the exercise?

Find the largest wavelength of light falling on double slits separated by $1 . \text{20} \mu\text{m}$ for which there is a first-order maximum. Is this in the visible part of the spectrum?

(a) What is the smallest separation between two slits that will produce a second-order maximum for any visible light? (b) For all visible light?

Using the result of the problem two problems prior, find the wavelength of light that produces fringes 7.50 mm apart on a screen 2.00 m from double slits separated by 0.120 mm (see the figure).