The sun is 150,000,000 km from earth; its diameter is 1,400,000 km. A student uses a 4.0-cm-diameter lens with f = 10 cm to cast an image of the sun on a piece of paper. a. Where should the paper be placed to get a sharp image? b. What is the diameter of the image on the paper? c. The intensity of the incoming sunlight is 1050 W/m2 . What is the power of the light captured by the lens? d. What is the intensity of sunlight in the projected image? Assume that all of the light captured by the lens is focused into the image.