I need help with part b, c, and d. Thank you!

2. In this problem, you will investigate the following puzzle: In the spring of 2009 in Bellevue Washington a house caught on fire, causing over $200,000 in damage. Puzzled over what could have caused the fire, investigators finally focused on a clear dog bowl that had been sitting on a wood deck and was filled with water. They surmised that the bowl had formed an image of the sun on the deck and had caused the fire by heating the wood above its ignition temperature. a) Google "dog bowl" "scientific american" "house fire". Read the scientific american article and summarize it in a paragraph. (use your own words, please, don't cut and paste). Include an illustration of how the dog bowl might behave as a lens. b) According to the article, the dog bowl was 14 inches above the deck and the bowl formed a lens. If the deck is in the back focal plane of the bowl-lens, what would be the diameter of the image of the sun? What would be the area of the image? c) If the area of the bowl that is collecting light is 9 inches in diameter (This is a little smaller than the article says, but the bowl usually has an edge), and the glass transmits light between 400 and 2000nm in wavelength, how much optical power is collected by the bowl? What is the irradiance of the image of the sun? d) If the bowl forms a plano-convex 'water lens' (i.e. if the glass is thin and unimportant to the optics), what would the radius of curvature of the bottom of the bowl need to be for an image of the sun to appear on the deck? Hint: To do this you will need to figure out what the refractive power of the surface must be for an efl of 14 inches, and figure out the radius of curvature from that. (Hint: Look at the first line of problem 1 for the power and focal length of a plano-convex lens.) 2. In this problem, you will investigate the following puzzle: In the spring of 2009 in Bellevue Washington a house caught on fire, causing over $200,000 in damage. Puzzled over what could have caused the fire, investigators finally focused on a clear dog bowl that had been sitting on a wood deck and was filled with water. They surmised that the bowl had formed an image of the sun on the deck and had caused the fire by heating the wood above its ignition temperature. a) Google "dog bowl" "scientific american" "house fire". Read the scientific american article and summarize it in a paragraph. (use your own words, please, don't cut and paste). Include an illustration of how the dog bowl might behave as a lens. b) According to the article, the dog bowl was 14 inches above the deck and the bowl formed a lens. If the deck is in the back focal plane of the bowl-lens, what would be the diameter of the image of the sun? What would be the area of the image? c) If the area of the bowl that is collecting light is 9 inches in diameter (This is a little smaller than the article says, but the bowl usually has an edge), and the glass transmits light between 400 and 2000nm in wavelength, how much optical power is collected by the bowl? What is the irradiance of the image of the sun? d) If the bowl forms a plano-convex 'water lens' (i.e. if the glass is thin and unimportant to the optics), what would the radius of curvature of the bottom of the bowl need to be for an image of the sun to appear on the deck? Hint: To do this you will need to figure out what the refractive power of the surface must be for an efl of 14 inches, and figure out the radius of curvature from that. (Hint: Look at the first line of problem 1 for the power and focal length of a plano-convex lens.)