Chapter 30, Problem 7PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# By calculating its wavelength, show that the first line in the Lyman series is UV radiation.

To determine

To prove:

The first line in the Lyman series is UV radiation by calculating the wavelength.

Explanation

Given Data:

The size of the nucleus is about10âˆ’15m.

Formula Used:

The relationship between the wavelength and energy level is given as

1Î»=R(1nf2âˆ’1ni2)

WhereÎ»= Wavelength

R= Rydberg Constant

nf,ni = Energy levels

Proof:

We have

â€ƒâ€ƒni=2

â€ƒâ€ƒnf=1

â€ƒâ€ƒR=1.097Ã—107mâˆ’1

Thus, wavelength is calculated as

1Î»=1.097Ã—107mâˆ’1(112âˆ’122)

1Î»=1

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