Chapter 27: Wave Optics

Using the result of the problem above, calculate the distance between fringes for ${}^{\mathbf{633}\mathbf{}\mathbf{nm}}$ light falling on double slits separated by ${}^{\mathbf{0}\mathbf{.}\mathbf{0800}\mathbf{}\mathbf{mm}}$, located ${}^{\mathbf{3}\mathbf{.}\mathbf{00}\mathbf{}\mathbf{m}}$from a screen as in Figure ${}^{\mathbf{27}\mathbf{.}\mathbf{56}}$.

What type of experimental evidence indicates that light is a wave?

Show that when light passes from air to water, its wavelength decreases to$0.750$times its original value.

A beam of light always spreads out. Why can a beam not be created with parallel rays to prevent spreading? Why can lenses, mirrors, or apertures not be used to correct the spreading?

Using the result of the problem two problems prior, find the wavelength of light that produces fringes ${}^{\mathbf{7}\mathbf{.}\mathbf{50}\mathbf{}\mathbf{mm}}$apart on a screen ${}^{\mathbf{2}\mathbf{.}\mathbf{00}\mathbf{}\mathbf{m}}$from double slits separated by ${}^{\mathbf{0}\mathbf{.}\mathbf{120}\mathbf{}\mathbf{mm}}$ (see Figure ${}^{\mathbf{27}\mathbf{.}\mathbf{56}}$).

What effect does increasing the wedge angle have on the spacing of interference fringes? If the wedge angle is too large, fringes are not observed. Why?

A diffraction grating has ${}^{\mathbf{2000}}$ lines per centimeter. At what angle will the first-order maximum be for ${}^{\mathbf{520}\mathbf{}\mathbf{nm}}$ -wavelength green light?

How is the difference in paths taken by two originally in-phase light waves related to whether they interfere constructively or destructively? How can this be affected by reflection? By refraction?

Find the angle for the third-order maximum for ${}^{\mathbf{580}\mathbf{-}\mathbf{nm}}$-wavelength yellow light falling on a diffraction grating having ${}^{\mathbf{1500}}$ lines per centimeter.

Is there a phase change in the light reflected from either surface of a contact lens floating on a person’s tear layer? The index of refraction of the lens is about 1.5 , and its top surface is dry.