anonymous
  • anonymous
The retina of a human eye can detect light when radiant energy incident on it is at least 4.0 x 10^-17 J. For light of 505 nm wavelength, how many photons does this energy correspond to?
Chemistry
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Cuanchi
  • Cuanchi
you have to calculate the energy of one photon E= h c /wavelength (in meters) convert the 505 nm to meters h= 6.626 x 10^(-34) Js (Plank's constant) c= 3.0 x 10^8 m/s (speed of light) After you calculate the energy of one photon of 505nm you have to divide the total energy 4.0 x 10^-17J by the energy of the one photon to calculate how many photons you have in that amount of energy
anonymous
  • anonymous
I got 9.75 x 10^-37 but I think I did it wrong.
aaronq
  • aaronq
you should post your work, but yeah, that number is not right - you should get a number of photons, not energy

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anonymous
  • anonymous
\[E = \frac{ 6.626 x 10^{-34}J/s x 3.0 x 10^{8}m/s }{5.05x10^{-7} m }\]
anonymous
  • anonymous
\[\frac{ 3.9 x 10^{-19} J }{ 4.0 x 10^{-17}J }\]
anonymous
  • anonymous
That's how I did it
aaronq
  • aaronq
good stuff. it's good up until the division. you were supposed to the divide the threshold energy, 4.0*10^-17 J by the energy of the photon you can calculated.
anonymous
  • anonymous
so the 4.0/3.9?
aaronq
  • aaronq
yes
anonymous
  • anonymous
1.0256 x 10-36
aaronq
  • aaronq
you're pluggin it into the calculator incorrectly
aaronq
  • aaronq
the answer is 102.5641, you should try to get this number
anonymous
  • anonymous
What order did you put it into your calculator?
aaronq
  • aaronq
i use this http://web2.0calc.com/
aaronq
  • aaronq
havent used a normal, handheld calculator in a long time
anonymous
  • anonymous
Think my calculator is just messing up.
anonymous
  • anonymous
Thanks for the help.
aaronq
  • aaronq
yeah, it's tricky pluggin in negative exponents. no problem
Cuanchi
  • Cuanchi
@staldk3 Try to use parentheses when you enter the denominator with a power of ten, otherwise the calculator will understand that you want to multiply everything by 10^-19 in place to divide by the 10^-19 (4.0 x 10^-17) / (3.9 x 10^-19) = 1.03 x 10^2 Otherwise the calculator understand (4.0 x 10^-17 / 3.9) x 10^-19 = 1.03 x 10^-36

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