Prob. 1. Two converging lenses, A with a focal length of +2.0cm and B with a focal length of +5.0cm, are placed 14cm apart. An object is place 3.0cm to the left of lens A.

A) Utilize graphical methods, to scale, to construct the ray diagram by a measurement of the final image position and height; and

B) Utilize the lens equation determine the characteristics of the image.

Prob. 2. A prism with angles 45°,45°, and 90° is to be utilized to turn a beam of light through a 90° angle. What is the minimum index of refraction for the material of the prism that will give the total internal reflection required?

 Prob. 3. A tarantula is sitting 4.5 min front of a concave spherical mirror with radius of R =1.4m.

A) Construct a ray diagram to scale showing the object, image and the mirror. Decide graphically the characteristics of the image.

B) If the image is 5.0 cm tall, how high is the tarantula?

Prob. 4. A Young’s double slit apparatus has the slit separation of 0.12mm and the distance among the slits and the viewing screen is 55 cm.

A) If monochromatic light of wavelength λ = 550x10-9 m passes during the slits, calculate the distance among the central (bright) fringe and the adjacent bright fringe.

B) Now imagine that you are using X-rays, λ=1x10–9 min stead of visible light in this experiment. What would the slit separation need to be in order to have the distance among these first two bright fringes be1cm?

Prob. 5. A combination of blue light (n=1.60) and red light (n=1.50) is incident on the surface of a flat glass plate. As of dispersion there are two refracted rays. Draw a diagram showing the incident and both refracted rays, indicating the blue and the red rays.

Compute the angle among the refracted blue and red rays.