planck's explanation for the observed emission spectrum from a blackbody emitter was one of the first "quantum" hypotheses that paved the way for the development of quantum mechanics a. describe in your own words why the experimentally observed frequency spectrum from a blackbody emitter does not agree with predictions from classical physics b. stars can be modeled as blackbody emitters and the color of the radiation they emit can be used to determine their temperature. the emission spectrum of our sun peaks at about 500 nm. based on this information, what is the temperature of the sun's surface? the emission spectrum of an incandescent light bulb with a tungsten filament peaks near 950 nm. how hot is the filament in this bulb relative to the surface of the sun? c. for comparison, the fireball in a thermonuclear explosion can reach a temperature of approximately 107 k. what is the peak emission wavelength of the fireball? what region of the electromagnetic spectrum does this pertain to? if you're in the vicinity of a thermonuclear explosion, is blackbody radiation from the blast a significant risk? d. a concept we'll encounter this semester is the correspondence principle, which states that when the energy gaps between quantum states are so small that they appear continuous, we recover behavior described by classical mechanics. as an example of this concept, show that planck's quantum expression for describing the density of states of a blackbody emitter at a frequency v: 8xhv hv/kt reverts to the classical rayleigh-jeans law as v → 0 (i. e. as the spacing between states becomes small). hint: think about using a taylor series in the denominator. if you've forgotten how to do a taylor expansion (or never learned it in the first place! ) check out barrante, section 7-4 (or all of chapter 7 for that