You find a sealed container in your freezer. There is a 4 cm x 1 cm label on it but it is covered by a layer of ice 0.5 mm thick that you can’t seem to scrape off. You have the idea that your desk lamp will produce enough heat to melt the ice over the label. So you put your desk lamp right over the label to melt the ice. Assume the ice is just at 0°C and your desk lamp has an effective temperature of 600°K and also assume you can focus all the power of the lamp onto the label itself. Take the emissivity of ice as 0.1, and its density as 0.9 g/cm3 (A) how much heat do you need to melt the ice above the label? (B) how long does it take the lamp to do the job?
