Determine the minimum thickness of a soap film ( $n=$ 1.330) that will result in constructive interference of (b) the blue $\mathrm{H}_\gamma$ line $(\lambda=434.0 \mathrm{~nm})$

The wavelength range for visible light is $400 \mathrm{~nm}$ to $700 \mathrm{~nm}$ in air. What is the frequency range of visible light?

In a location where the speed of sound is 354 m/s, a 2 000-Hz sound wave impinges on two slits 30.0 cm apart. At what angle is the first maximum located?

A flat coil enclosing an area of 0.10 m$^2$ is rotating at 60 rev/s, with its axis of rotation perpendicular to a 0.20-T magnetic field. When the maximum induced voltage occurs, what is the orientation of the coil with respect to the magnetic field?

Light of wavelength $460 \mathrm{~nm}$ falls on two slits spaced $0.300 \mathrm{~mm}$ apart. What is the required distance from the slit to a screen if the spacing between the first and second dark fringes is to be $4.00 \mathrm{~mm}$ ?

A laser beam is incident on two slits with a separation of 0.200 mm, and a screen is placed 5.00 m from the slits. If the bright interference fringes on the screen are separated by 1.58 cm, what is the wavelength of the laser light?

A laser beam $(\lambda=632.8 \mathrm{~nm})$ is incident on two slits $0.200 \mathrm{~mm}$ apart. How far apart are the bright interference fringes on a screen $5.00 \mathrm{~m}$ away from the double slits?

Certain sunglasses use a polarizing material to reduce the intensity of light reflected from shiny surfaces, such as water or the hood of a car. What orientation of the transmission axis should the material have to be most effective?

Translate the following arguments into symbolic form. Then determine whether each is valid or invalid by constructing a truth table for each. The letters to be used in constructing the truth tables are given in parentheses. If national elections deteriorate into TV popularity contests, then smoothtalking morons will get elected. Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected. (N, S)

Would it be possible to place a nonreflective coating on an airplane to cancel radar waves of wavelength 3 cm?

Suppose reflected white light is used to observe a thin, transparent coating on glass as the coating material is gradually deposited by evaporation in a vacuum. Describe some color changes that might occur during the process of building up the thickness of the coating.

The waves from a radio station can reach a home receiver by two different paths. One is a straight-line path from the transmitter to the home, a distance of $30.0 \mathrm{~km}$. The second path is by reflection from a storm cloud. Assume that this reflection takes place at a point midway between receiver and transmitter. If the wavelength broadcast by the radio station is $400 \mathrm{~m}$, find the minimum height of the storm cloud that will produce destructive interference between the direct and reflected beams. (Assume no phase changes on reflection.)

In everyday experience, why are radio waves polarized, whereas light is not?

A pair of slits, separated by 0.150 mm, is illuminated by light having a wavelength of $\lambda = 643$ nm. An interference pattern is observed on a screen 140 cm from the slits. Consider a point on the screen located at y = 1.80 cm from the central maximum of this pattern. Express this path difference in terms of the wavelength.