1. Light of 520 nm wavelength is used in a double-slit (Young's) experiment (slit separation 0.45 m). Adjacent dark fringes separated by 2.10 mm are observed on a screen. Determine the slit-to-screen distance.
2. The image of a tree just covers the length of a 5.0-cm plane mirror when the mirror is held vertically 30.0 cm from the eye. The tree is 100 m from the mirror. What is its height?
3. Two thin lenses, the one on the left of focal length -0.200 m and the second of focal length of +0.200 m, are separated by 0.200 m. An object is 0.200 m to the left of the lens. Find the location of the final image both by a ray diagram and by a calculation using the thin-lens equation.
4. An object is located 10.0 cm from the center of a spherical silvered ball 5.0 cm in radius.
(a) Calculate the position of the image.
(b) What is the lateral magnification?
(c) Make a graphical solution.
5. You are given a diffraction grating having an unknown number of lines (rulings) per meter. Using the green line of mercury (546 x 10^-9 m), you find that the angle between the central and the first principal (most in¬tense) maxima is 30° How many lines/meter does the grating have?
Here are the solutions. Note that problem #2 is ...
This solution contains annotated ray diagrams and step-by-step calculations to determine the slit-to-screen distance, height, location of final image, image position, lateral magnification, and angle between central and first principal maxima.