Practice Problems

1. A concave mirror has a focal length of 15 cm. An object is placed 25 cm in front of it. Determine the image position and magnification.
2. Light passes from air into glass with refractive index 1.5. If the incident angle is 30°, find the refracted angle.
3. A converging lens forms a real image twice the size of the object. If the object is 10 cm from the lens, find the focal length.
4. Calculate the first diffraction minimum for a slit width of 0.1 mm using light of wavelength 600 nm.
5. Two slits separated by 0.25 mm produce interference on a screen 1.5 m away. Wavelength is 500 nm. Determine fringe spacing.
6. Sketch ray diagrams for a convex lens producing a virtual, upright image.
7. Explain the effect on fringe spacing if the wavelength is doubled in double-slit interference.
8. Calculate the magnification for an object at 1.5f from a converging lens.
9. Explain why longer wavelengths produce more noticeable diffraction effects.
10. Combine knowledge of diffraction and interference to predict patterns for a single slit and double slit in the same experiment.