In: Chemistry
1.)Calculate the wavelength of light produced if an electron moves from n=2 state to n=1 state of an electron in a hydrogen atom. Express your answer to three significant figures and include the appropriate units.
2.)Predict if this wavelength higher or lower than those produced if an electron moves from n=6 state to n=1 state.
a.) higher
b.) lower
1) According to rydberg equation:
wavenumber = 1/wavelength = 109677(1/n1^2-1/n2^2) cm-1
n1 = 1 , n2 = 2
1/wavelength = 109677(1/1^2-1/2^2)
= 8.226*10^4 cm-1
wvaelength = 1/(8.226*10^4)
= 1.21*10^-5 cm
= 121 nm
2)
According to rydberg equation:
wavenumber = 1/wavelength = 109677(1/n1^2-1/n2^2) cm-1
n1 = 1 , n2 = 6
1/wavelength = 109677(1/1^2-1/6^2)
= 1.07*10^5 cm-1
wvaelength = 1/(1.07*10^5)
= 9.34*10^-6 cm
= 93.4 nm
ANSWER: A) higher.