The problems given below are due next week, but your group should work on them t

Question

The problems given below are due next week, but your group should work on them today 2.(30pts) A photon from the visible region of the electromagnetic spectrum has a wavelength of 6.28 x 10 nm, answer the fol lowing questions: (a) (10pts) What is the frequency of this light expressed in s ? (b) (10pts)What is the wavenumber in cm? (c) (10pts)What is the energy, in J, of a single photon having this wavelength? 3. (35 pts) The electron in a B" ion makes a transition from an initial state n, to a final state having n, a on having a frequency of 7.3117 x 10h sece is emitted. Determine the value of n, associated with the initial state. Hint Recall that for any one electron atom or ion E. (Goules)- 2.18 x 10 Z- atomic number. Z/n2, where

Explanation / Answer

2.) Wave length lambda = 6.28 x 10 ^2 nm = 6.28 x 10 -7m

a) frequency (f) = c / lambda

c = speed of light = 3x 10 ^8 m/sec

f= 3x 10^ 8 m/sec / 6.28 x 10-7 m

f= 188.4 sec-1

b) wave number = 1/lambda

lambda = 6.28x 102nm = 6.28 x 10-5 cm

wave number = 1 / 6.28 x 10-5 cm = 15923.56 cm

c) Energy = hc/ lambda

h = planks constant = 6.62 x 10-34 joule - sec

E = 6.62 x 10-34 joule- sec x 3 x 108 m sec-1 / 6.28 x 10 -7   m

E = 3.16 x 10-19 joule

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