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Exposure to high doses of microwaves can cause tissue damage. Estimate how many photons with a wavelength = 12 cm, must be absorbed to raise the temperature of your eye by 3.0 C. Assume the mass of the eye is 11 g and its specific heat is 4.0 J/g K.

Sagot :

1.21 x 10^26  photons with a wavelength = 12 cm, must be absorbed to raise the temperature of your eye by 3.0 C. Assume the mass of the eye is 11 g and its specific heat is 4.0 J/g K.

λ = 12 cm = 0.12 m

T=3 C degrees.

m = 11 g, or 0.011 kg, and c = 4 J/g K, or 4000 J/kg K.

Suppose there are n photons.

One photon's energy is equal to hc/.

h is the Planck constant, and let c represent the speed of light.

n photons' energy, E = n h c /

Since this energy is used to increase the eye's warmth, n h c / = m c. Δ T\sn = m c T = (0.011 x 4000 x 3 x 0.12)/(6.63 x 10-34 x 3 x 108), where n = 1.21 x 1026.

The number of photons is 1.21 x 1026.

The term "photon" refers to an elementary particle that is a quantum of the electromagnetic field, which includes electromagnetic radiation like light and radio waves, as well as the force carrier for the electromagnetic force. The word "photon" is derived from the Ancient Greek "phôs, phtós," which means "light." The speed of light in a vacuum, which is 299792458 m/s (or 186,282 mi/s), is the only speed at which photons can travel because they have no mass[a]. The boson class includes the photon.

The behavior of photons exhibits wave-particle duality, exhibiting characteristics of both waves and particles. Like other elementary particles, photons are best understood by quantum mechanics.  The contemporary photon theory was developed by Albert Einstein in the first two decades of the 20th century, building on the work of Max Planck.

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