Final answer:
The frequency of a microwave can be 900 or 2560 MHz. Energy of a photon from a 2560 MHz microwave is 1.696 x 10^-24 kJ, and the wavelength is 1.17 x 10^8 nm. Spider-Man was exposed to gamma radiation, which has an energy of 1.602 x 10^-13 J per photon at 1.00 MeV.
Step-by-step explanation:
The frequency of a microwave can typically be either 900 or 2560 MHz. The energy E of a wave can be calculated using the formula E = hf, where h is Planck's constant (6.626 x 10-34 J s) and f is the frequency. For instance, a microwave oven with a frequency of 2560 MHz (which is 2.56 x 109 Hz) would have a photon energy E = (6.626 x 10-34 J s)(2.56 x 109 Hz) = 1.696 x 10-24 J per photon. To convert this to kilojoules, you would multiply by 103 to get 1.696 x 10-21 kJ per photon.
To find the wavelength (λ) in nanometers, you can use the formula c = fλ, where c is the speed of light (approximately 3 x 108 m/s). So, λ = c/f would be (3 x 108 m/s) / (2.56 x 109 Hz) = 1.17 x 10-1 meters or 1.17 x 108 nm.
An example of a superhero that gained powers from radiation would be Spider-Man, who was bitten by a spider that had been exposed to radioactive rays. The type of radiation in the case of Spider-Man's origin was typically portrayed as a form of gamma radiation.
Calculating the energy: For gamma rays with an average energy of 1.00 MeV (which is 106 eV), we can convert electron volts to joules (1 eV = 1.602 x 10-19 J) to find the energy in joules. Thus, 1.00 MeV is equivalent to 1.602 x 10-13 J per photon.