A ball is positioned 22 cm in front of a spherical mirror and forms a virtual image. If the spherical mirror is replaced with a plane mirror, the image appears 12 cm closer to the mirror. What kind of spherical mirror was used?

A grating has $787$ lines per centimeter. Find the angles of the first three principal maxima above the central fringe when this grating is illuminated with $655 \mathrm{~nm}$ light.

Green light $(\lambda=546 \mathrm{~nm})$ strikes a single slit at normal incidence. What width slit will produce a central maximum that is $2.75 \mathrm{~cm}$ wide on a screen $1.80 \mathrm{~m}$ from the slit?

What width single slit will produce first-order diffraction minima at angles of $\pm 23^{\circ}$ from the central maximum with $690 \mathrm{~nm}$ light?

When light with a wavelength of 562 nm passes through a slit, it forms a first-order dark fringe (m = 1) at 22°. What is the width of the slit?

Coherent light with wavelength $400 \mathrm{~nm}$ passes through two very narrow slits that are separated by $0.200 \mathrm{~mm}$, and the interference pattern is observed on a screen $4.00 \mathrm{~m}$ from the slits.(b) What is the width of the first-order bright fringe?

In the Bohr model, is light emitted or absorbed when an electron moves from a higher-energy orbit to a lowerenergy orbit?

In a double-slit experiment using monochromatic light, a screen is placed 1.25 m away from the slits, which have a separation distance of 0.0250 mm. The position of the third-order maximum is 6.60 cm from the center of the central maximum. Find (a) the wavelength of the light and (b) the position of the second-order maximum.

X-rays of wavelength 0.135 nm fall on a crystal whose atoms, lying in planes, are spaced $0.280$ nm apart. At what angle must the X-rays be directed if the first diffraction maximum is to be observed?

Monochromatic light passes through two slits separated by a distance of $0.0334 \mathrm{~mm}$. If the angle to the third maximum above the central fringe is $3.21^{\circ}$, what is the wavelength of the light?

A physics professor wants to perform a lecture demonstration of Young's double-slit experiment for her class using the $633 \mathrm{~nm}$ light from a He-Ne laser. Because the lecture hall is very large, the interference pattern will be projected on a wall that is $5.0 \mathrm{~m}$ from the slits. For easy viewing by all students in the class, the professor wants the distance between the $m=0$ and $m=1$ maxima to be $35 \mathrm{~cm}$. What slit separation is required in order to produce the desired interference pattern?

X-rays of wavelength 0.133 nm fall on a crystal whose atoms, lying in planes, are spaced 0.280 nm apart. At what angle $\phi$ must the X-rays be directed if the first diffraction maximum is to be observed?

Laser light with a wavelength $\lambda=670 \mathrm{~nm}$ illuminates a pair of slits at normal incidence. What slit separation will produce firstorder maxima at angles of $\pm 35^{\circ}$ from the incident direction?

Two sources emit waves that are coherent, in phase, and have wavelengths of $26.0 \mathrm{~m}$. Do the waves interfere constructively or destructively at an observation point $44.0 \mathrm{~m}$ from one source and $135 \mathrm{~m}$ from the other source?