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Once a cis-retinal molecule (the absorbing form of retinal molecules) absorbs a photon, it undergoes a...

Once a cis-retinal molecule (the absorbing form of retinal molecules) absorbs a photon, it undergoes a conformational change. When enough of these molecules within rhodopsin have undergone this change, an electrical signal is initiated to the brain. On average, approximately 2.0 x 10-17J of energy is needed to initiate this signal. How many cis-retinal molecules must simultaneously absorb photons of 450nm to initiate a nerve signal?

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Answer #1

The energy of each photon E = hc/lambda

where h = Plancks constant, c= velocity of light and lambad = wavelength of photon

Thus E = 6.625x10-34 J.sec x 3.0x108 m.sec-1 / 450x 10-9 m

= 4.417x10-19 J

Each cis-retinal absorbs 4.417x10-19 J energy

To initiate the signal the energy necessary = 2.0x10-17 J

The number of molecules required to give this energy = total energy required / energy of each absorption

= 2.0x10-17 J   /4.417x10-19 J

= 45.279 molecules

  

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