Question

In: Physics

The human eye is most sensitive to green light of wavelength 505 nm . Experiments have...

The human eye is most sensitive to green light of wavelength 505 nm . Experiments have found that when people are kept in a dark room until their eyes adapt to the darkness, a single photon of green light will trigger receptor cells in the rods of the retina.
1.What is the frequency of this photon?
2.How much energy (in joules and eV ) does it deliver to the receptor cells?
3.To appreciate what a small amount of energy this is, calculate how fast a typical bacterium of mass 9.50�10?12 g would move if it had that much energy.

Solutions

Expert Solution

1) c = frequency*wavelength
c = 299792458 m/s
wavelength = 505nm = 5.05e-7 m

so frequency = 5.94e14 Hz

2)
E = h*frequency = 3.93e-19J

1 J = 6.26e18 eV
so this energy in eV = 3.93e-19*6.24e18 = 2.452 eV

3)
(1/2)mv^2 = 3.93e-19

so, v = 9.096 mm/s


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