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CBSE Class 12-science Answered

20. The data given below gives the photon energy (in eV) for a number of waves whose wavelength values (in nm) are also given. 
Wavelength
(in nm)
200
400
600
800
1000
1200
Photon Energy (in eV)
6.216
3.108
2.072
1.554
1.243
1.036
(Without doing any calculation/taking any reading), explain how one can use this data to draw an appropriate graph to infer
(i) photon energy corresponding to a wavelength of 100 nm.
(ii) the wavelength value (in nm) corresponding to a photon energy of 1 eV.
(iii) velocity of light assuming that the value of Plank’s constant is known.
Asked by Malavika Umesh | 25 Feb, 2015, 09:36: AM
answered-by-expert Expert Answer
 
(i) The energy corresponding to 100 nm = 12.4 eV.
 
(ii) The wvelength corresponding to energy of 1 eV is 1240 nm.
 
(iii) Consider any value of E and λ say (600 nm, 2.072 eV)
 
Then, we get
 
begin mathsize 14px style straight c equals Eλ over straight h equals fraction numerator 2.072 space cross times space 1.6 cross times 10 to the power of negative 19 end exponent cross times 600 cross times 10 to the power of negative 9 end exponent over denominator 6.63 cross times 10 to the power of negative 34 end exponent end fraction equals 3.0008 space cross times space 10 to the power of 8 space straight m divided by straight s end style
Answered by Romal Bhansali | 25 Feb, 2015, 01:04: PM

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