Hello, Could you please help me solve these questions? Thanks in advance The hum

Question

Hello, Could you please help me solve these questions? Thanks in advance

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.

A.)What is the frequency of this photon?

B)

How much energy (in joules and eV ) does it deliver to the receptor cells?

Answer in the order indicated. Separate your answers with a comma. (Ej, Eev)

C.) To appreciate what a small amount of energy this is, calculate how fast a typical bacterium of mass 9.5×1012 g would move if it had that much energy.

Express your answer using two significant figures.

Explanation / Answer

(a)

frequency f = c/lambda = 3*10^8/(505*10^-9)

f = 5.94*10^14 Hz

(b)

E = hf = 6.626*10^-34*5.94*10^14 = 3.94*10^-19 J

E = 3.94*10^-19 /(1.6*10^-19) = 2.4625 eV

______________

KE = E

0.5*m*v^2 = 3.94*10^-19

0.5*9.5*10^-12*10^-3*v^2 = 3.94*10^-19

v = 9.1*10^-3 m/s

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