1: Calculate the shortest and longest wavelength of radiation for the Paschen Series. (Answer: 1875 nm, 820 nm) 

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2: In the fifth energy level determine the radius and energy of electron for hydrogen atom? (Answer: 1.323 nm, -8.72 x 10⁻²⁰ J or -0.545 eV) 

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3: An electron drops from the second energy level to the first energy level within an excited hydrogen atom (a) determine the energy of the photon emitted (b) calculate the frequency of the photon emitted (c) calculate the wavelength of the photon emitted. (Answer: (a) 10:2 eV (b) 2.5 ｘ 10¹⁵ Hz (c) 120 nm) 

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4: Find the wavelength associated with an electron in the state n=4 of hydrogen. (Answer: 1.33 nm) 

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5: An electron is in the first Bohr orbit of hydrogen atom. (a) Find the speed of electron, and (b) the time required for electron to circle the nucleus. (Answer: (a) 2.19 ｘ 10⁶ m/s (b) 1.52 ｘ 10⁻¹⁶ s) 

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6: If the shortest wavelength produced by an X-ray tube is 0.46 nm, what is the voltage applied to the tube? (Answer: 2.7 kV)

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