1. What is the relationship between wavelength and frequency? What is the name o

Question

1. What is the relationship between wavelength and frequency? What is the name of the constant of proportionality used in the relationship between wavelength and frequency, and what is its value? 2. What is the relationship between energy and wavelength? What are the proportionality constants and what are their values? 3. Calculate the wavelength of light emitted during a transition from n = 4 to n = 3 in the hydrogen atom. What type of electromagnetic radiation is emitted? 4. Using the Bohr model, calculate the energy associated with a transition from n = 4 to n = 1. 5. What is the wavelength of light emitted by the transition described in question 4?

Explanation / Answer

1)

frequency is inversely propotional to wavelenth

f is propotional to 1/(lambda)

f = c/(lambda)
here c = velocity of light
      c = 3*10^8 m/sec.

2) Energy inversely propotional to wavelenth
E = h*c/(lambda)
propotionality constant is h(plank constant)

h = 6.626*10^-34 j.sec or 6.626*10^-27 erg.sec

3)

1/(lambda) = 109677.8[1/(n1)^2 - 1/(n2)^2]

1/(lambda) = 109677.8[1/9 - 1/16]

(lambda) = 1.8756*10^-4 cm
          = 1875.623 nm or 18756.23 A0

Infrared radiation emitted

4)

1/(lambda) = 109677.8[1/(n1)^2 - 1/(n2)^2]

1/(lamda) = 109677.8[1/1 - 1/16]

lambda = 9.72545*10^-6 cm
       = 972.545 A0 or 97.2545 nm

E = h*C/(lambda)
   = (6.625*10^-34*3*10^8) / 9.72545*10^-6 cm
   = 2.0436 *10^-20 J

5)
lambda = 9.72545*10^-6 cm
       = 972.545 A0 or 97.2545 nm

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