Question

please answer quesiton 1,1a,1b

1. Consider the following energy levels of a hypothetical atom: E -1.0 x 10-19 -5.0 x 10-19 _-10 x 10-19 _-15 x 10-19 a. What is the wavelength of the photon needed to excite an electron from E, to Ex? (Use the Energies given in the problem) b. When an electron drops from the E3 to the E, level, the atom is said to undergo emission. Calculate the wavelength of the photon emitted in this process.

Answer 1

a)

Energy difference,

E = E4 - E1

= (-1.0*10^-19) - (-15*10^-19)

= 14*10^-19 J

= 1.4*10^-18 J

use:

E = h*c/lambda

1.4*10^-18J =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/lambda

lambda = 1.42*10^-7 m

Answer: 1.42*10^-7 m

2)

Energy difference,

E = E3 - E1

= (-4.0*10^-19) - (-15*10^-19)

= 10*10^-19 J

= 1.0*10^-18 J

use:

E = h*c/lambda

1*10^-18J =(6.626*10^-34 J.s)*(3.0*10^8 m/s)/lambda

lambda = 1.988*10^-7 m

Answer: 1.99*10^-7 m