Q. 61 a. What wavelength photon does a... [FREE SOLUTION]

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Chapter 38: Q. 61 (page 1116)

a. What wavelength photon does a hydrogen atom emit in a $200 鈫� 199$ transition?
b. What is the difference in the wavelengths emitted in a localid="1650823513478" $199 鈫� 2$ transition and a $200 鈫� 2$ transition?

Short Answer

Expert verified

(a) In a transition, wavelength photon a hydrogen atom emit is $位_{200 鈫� 199} = 0 .362 m$

(b) The difference in the wave lengths are $螖位 = 0 .368 pm$

Step by step solution

Part (a) Step 1: Given information

The wavelength of hydrogen atom is $200 鈫� 199$

Part (a) Step 2: Finding emission spectrum wavelength

We can start with an expression for the emission spectrum wavelength.

$位_{n 鈫� m} = \frac{位_{0}}{\frac{1}{m^{2}} 鈭� \frac{1}{n^{2}}} 位_{200 鈫� 199} = \frac{91 .18 鈰� 10^{鈭� 9}}{\frac{1}{199^{2}} 鈭� \frac{1}{200^{2}}} (200 鈫� 199 transition) 位_{200 鈫� 199} = 0 .362 m$

Part (b) Step 1: Given information

The given wavelengths are $199 鈫� 2$ and $200 鈫� 2$

Part (b) Step 2: Finding difference between wavelengths

In the same approach, we can figure out $199 鈫� 2$ transition and $200 鈫� 2$ transition

localid="1651154009746" $\begin{aligned} 位_{199 鈫� 2} = \frac{(91 .18 脳 10^{鈭� 9})}{\frac{1}{2^{2}} 鈭� \frac{1}{199^{2}}} \\ 位_{200 鈫� 2} = \frac{(91 .18 脳 10^{鈭� 9})}{\frac{1}{2^{2}} 鈭� \frac{1}{200^{2}}} \end{aligned} 螖位 = 位_{199 鈫� 2} 鈭� 位_{200 鈫� 2} (difference between wavelengths) 螖位 = \frac{(91 .18 脳 10^{鈭� 9})}{\frac{1}{2^{2}} 鈭� \frac{1}{199^{2}}} 鈭� \frac{(91 .18 脳 10^{鈭� 9})}{\frac{1}{2^{2}} 鈭� \frac{1}{200^{2}}} (substitute) 螖位 = 0 .368 pm$

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91影视

a. What wavelength photon does a hydrogen atom emit in a $200 鈫� 199$ transition?
b. What is the difference in the wavelengths emitted in a localid="1650823513478" $199 鈫� 2$ transition and a $200 鈫� 2$ transition?

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Finding emission spectrum wavelength

Part (b) Step 1: Given information

Part (b) Step 2: Finding difference between wavelengths

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91影视

a. What wavelength photon does a hydrogen atom emit in a 200鈫�199transition?b. What is the difference in the wavelengths emitted in a localid="1650823513478" 199鈫�2transition and a 200鈫�2transition?

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) Step 2: Finding emission spectrum wavelength

Part (b) Step 1: Given information

Part (b) Step 2: Finding difference between wavelengths

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Oscillations

Quantum Physics

Circular Motion and Gravitation

Translational Dynamics

Medical Physics

Fluids

Study anywhere. Anytime. Across all devices.

a. What wavelength photon does a hydrogen atom emit in a $200 鈫� 199$ transition?
b. What is the difference in the wavelengths emitted in a localid="1650823513478" $199 鈫� 2$ transition and a $200 鈫� 2$ transition?