Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 1P

(a)

To determine

The wavelength of the first three lines.

(a)

Expert Solution
Check Mark

Answer to Problem 1P

The wavelength of the first three lines is 121.5nm, 102.5nm and 97.20nm.

Explanation of Solution

Write the expression to calculate the wavelength of the first line.

  λ=1RH(n2n21)

Here, λ is the wavelength and RH is the Rydberg constant.

Substitute 1.097×107m1 for RH and 2 for n in the above equation to calculate wavelength corresponds to first line.

  λ1=11.097×107m1(22221)=121.5×109m(1nm109m)=121.5nm

Here, λ1 is the wavelength corresponds to first line.

Substitute 1.097×107m1 for RH and 3 for n in the above equation to calculate wavelength corresponds to second line.

  λ2=11.097×107m1(32321)=102.5×109m(1nm109m)=102.5nm

Here, λ2 is the wavelength corresponds to second line.

Substitute 1.097×107m1 for RH and 4 for n in the above equation to calculate wavelength corresponds to third line.

  λ3=11.097×107m1(42421)=97.20×109m(1nm109m)=97.20nm

Here, λ3 is the wavelength corresponds to third line.

Conclusion:

Therefore, the wavelength of the first three lines is 121.5nm, 102.5nm and 97.20nm.

(b)

To determine

Which region of the electromagnetic spectrum does the part (a) lines come from?

(b)

Expert Solution
Check Mark

Answer to Problem 1P

The three lines are in ultraviolet region.

Explanation of Solution

The wavelength corresponds to the first three lines is 121.5nm, 102.5nm and 97.20nm.

The electromagnetic spectrum starts from radio waves to gamma waves. In between the visible light with wavelength 400nm to 700nm.

The above lines would have lesser wave length compared to the visible and is greater than X-ray wave.

Thus, the above lines would falls under the region of ultraviolet.

Conclusion:

Therefore, the three lines are in ultraviolet region.

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