1.)Calculate the wavelength of light produced if an electron moves from n=2 state to n=1 state...

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

Solutions

Expert Solution

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

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.

queen_honey_blossom answered 1 year ago

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