Chapter 38: Q.65 (page 1116)

What lie the winding of the Irasuliens? $3 \to 2.4 \to 2$ , and $5 \to 2$ in the hydronics $O^{- 7}$ ? In what spectral range do these lie?

Short Answer

Expert verified

$λ_{32} = 10.26 nm; λ_{42} = 7.6 nm; λ_{52} = 6.79 nm$

Step by step solution

Step: 1 Given information

The given hydric lie are $O^{- 7}$

Step: 2 Calculation

We can begin by expressing our energy levels as follows:

$E_{n} = - \frac{13.6 Z^{2} (eV)}{n^{2}} E_{3} - E_{2} = - 13.6 Z^{2} (eV) \cdot (\frac{1}{3^{2}} - \frac{1}{2^{2}})$ $E_{3} - E_{2} = \frac{h c}{λ_{32}} λ_{32} = \frac{h c}{E_{3} - E_{2}} λ_{32} = \frac{6.63 \cdot 10^{- 34} \cdot 3 \cdot 10^{8}}{- 13.6 \cdot 8^{2} \cdot 1.6 \cdot 10^{- 19} \cdot (\frac{1}{3^{2}} - \frac{1}{2^{2}})} λ_{32} = 10.26 nm$

In the same approach, we can determine out $4 \to 2$ and $5 \to 2$ transitions:

$λ_{42} = \frac{h c}{E_{4} - E_{2}} λ_{42} = \frac{6.63 \cdot 10^{- 34} \cdot 3 \cdot 10^{8}}{- 13.6 \cdot 8^{2} \cdot 1.6 \cdot 10^{- 19} \cdot (\frac{1}{4^{2}} - \frac{1}{2^{2}})}$

$λ_{42} = 7.6 nm λ_{52} = \frac{h c}{E_{5} - E_{2}} λ_{52} = \frac{6.63 \cdot 10^{- 34} \cdot 3 \cdot 10^{8}}{- 13.6 \cdot 8^{2} \cdot 1.6 \cdot 10^{- 19} \cdot (\frac{1}{5^{2}} - \frac{1}{2^{2}})} λ_{52} = 6.79 nm$

These wavelengths are all in the UV range.

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What lie the winding of the Irasuliens? $3 \to 2.4 \to 2$ , and $5 \to 2$ in the hydronics $O^{- 7}$ ? In what spectral range do these lie?

Short Answer

Step by step solution

Step: 1 Given information

Step: 2 Calculation

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What lie the winding of the Irasuliens? 3→2.4→2, and 5→2in the hydronics O-7? In what spectral range do these lie?

Short Answer

Step by step solution

Step: 1 Given information

Step: 2 Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Engineering Physics

Electric Charge Field and Potential

Rotational Dynamics

Thermodynamics

Energy Physics

Classical Mechanics

Study anywhere. Anytime. Across all devices.

What lie the winding of the Irasuliens? $3 \to 2.4 \to 2$ , and $5 \to 2$ in the hydronics $O^{- 7}$ ? In what spectral range do these lie?