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CBSE Class 11-science Answered

Assume that 2× 10^-17 J of light energy is needed by the interior of human eye to see an object . How many photons of yellow light with wavelength 595.2nm are needed to generate the minimum energy ?
Asked by arunavamitra50 | 21 Jun, 2018, 07:08: AM
answered-by-expert Expert Answer
Given:
 
Wavelenght = 595.2 nm
 
                  = 595.2× 10-9 m
We space know space that comma straight E space equals hν straight nu equals straight c over straight lambda therefore straight E equals hc over straight lambda Energy space of space straight a space single space photon comma space straight E equals hc over straight lambda straight h equals space 6.63 cross times 10 to the power of negative 34 end exponent space Js straight c equals space 3 cross times 10 to the power of 8 space straight m divided by straight s space straight E equals fraction numerator space 6.63 cross times 10 to the power of negative 34 end exponent cross times 3 cross times 10 to the power of 8 over denominator 595.2 cross times 10 to the power of negative 9 end exponent end fraction space space space space equals space 3.34 cross times 10 to the power of negative 19 end exponent space straight J Energy space 3.34 cross times 10 to the power of negative 19 end exponent space straight J space equals space 1 space photon Energy space 2 cross times 10 to the power of negative 17 end exponent space straight J space equals space fraction numerator space 2 cross times 10 to the power of negative 17 end exponent cross times 1 over denominator 3.34 cross times 10 to the power of negative 19 end exponent end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 59.9 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space almost equal to space 60 space photons
 
Number of photons required = 60 photons.
Answered by Varsha | 21 Jun, 2018, 11:47: AM

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