## Atomic Spectra Module Question 44

H-Atom ($E_{n}=-\frac{hR}{n^{2}}$)

Evelyn L 1H
Posts: 67
Joined: Fri Sep 29, 2017 7:05 am

### Atomic Spectra Module Question 44

In the hydrogen atomic spectrum, what is the wavelength of light associated with the n = 4 to n = 1 electron transition? What part of the electromagnetic spectrum is this wavelength?

A. 1.03 x 107 m; radio waves region

B. 9.73 x 10-8 m; UV region

C. -9.73 x 10-8 m; visible light region

D. -2.044 x 10-18 J; gamma-rays region

How do you do this?

Amy Zheng 2l
Posts: 57
Joined: Fri Sep 29, 2017 7:04 am

### Re: Atomic Spectra Module Question 44

E4=1.36x10^-19
E1=2.1798x10^-18
E1-E4=2.04x10^-18
E=hc/wavelength
wavelength=9.7x10^-8 meters

Isabella Zizolfi 2F
Posts: 21
Joined: Fri Sep 29, 2017 7:05 am

### Re: Atomic Spectra Module Question 44

the answer is B because
a) you have to use the following formula in order to get the frequency --> frequency= R (1/n^2 - 1/n^2) [in this case n=4 and n=1 so frequency= R (1/16 - 1)
b) once you get the frequency you just have to use the formula wavelength= c(speed of light)/frequency

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