3. If you hold a concave spherical mirror of radius of curvature 30 cm in front of your face so that the image you see of yourself is inverted and only one-half actual size, how far is the mirror from your face?
4. Light of wavelength 650 nm is incident perpendicularly on a thin film (n = 1.33) suspended in air. Find the smallest two thicknesses for which the reflections undergo fully constructive interference.
5. In a Young's double slit arrangement, the two slits are separated by a distance equal to 45 times the wavelength of the light used.
a. What is the angular location of the first side maximum?
b. What is the distance between this maximum and the central maximum on a screen that is located 62.0 cm from the slits?
6. An ideal engine whose low temperature reservoir is at 18°C has an efficiency of 35%.
By how much should the temperature of the high temperature reservoir be increased to increase the efficiency to 45%?