4. A particle has a velocity that is 90% of the speed of light. If the wavelength of the particle is 3.5x10 m, calculate the mass of the particle.

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**Transcription for Educational Website**

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### Problem Set: Quantum Mechanics and Atomic Physics

**4.** A particle has a velocity that is 90% of the speed of light. If the wavelength of the particle is \(3.5 \times 10^{-15}\) m, calculate the mass of the particle.

**5.** Calculate the wavelength of light emitted when each of the following transitions occur in the hydrogen atom. What type of electromagnetic radiation is emitted in each transition?
   - **a.** \( n=4 \rightarrow n=3 \)
   - **b.** \( n=5 \rightarrow n=4 \)
   - **c.** \( n=5 \rightarrow n=3 \)

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No graphs or diagrams are present in the image.
Transcribed Image Text:**Transcription for Educational Website** --- ### Problem Set: Quantum Mechanics and Atomic Physics **4.** A particle has a velocity that is 90% of the speed of light. If the wavelength of the particle is \(3.5 \times 10^{-15}\) m, calculate the mass of the particle. **5.** Calculate the wavelength of light emitted when each of the following transitions occur in the hydrogen atom. What type of electromagnetic radiation is emitted in each transition? - **a.** \( n=4 \rightarrow n=3 \) - **b.** \( n=5 \rightarrow n=4 \) - **c.** \( n=5 \rightarrow n=3 \) --- No graphs or diagrams are present in the image.
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