7. A hydrogen atom emits light as it undergoes a transition from the n 4 state t

Question

7. A hydrogen atom emits light as it undergoes a transition from the n 4 state to the n- 2 state. Calculate the following (a) the energy (b) the wavelength (c) the frequency of the radiation 8. How much energy is required to ionize hydrogen in each of the following states? (a) ground state (b) the state for which 3 9. Voyager I and Voyager 2 surveyed the surface of Jupiter's moon lo and photographed active volcanoes spewing liquid sulfur to heights of 65 km above the surface of this moon. Find the speed with which the liquid sulfur left the volcano. lo's mass is 8.9 x 10 kg, and its radius is 1820 km. 10. As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off, walking always straight ahead, and find yourself returning to your spacecraft from the opposite side after completing a lap of 25.7 km. You hold a hammer and a falcon feather at a height of 1.32 m, release them, and observe that they fall together to the surface in 29.6 s. Determine the mass of the planet 11. A comet (see the figure below) approaches the Sun to within 0.570 AU, and its orbital period is 83.2 yr (AU is the symbol for astronomical unit, where I AU = 1.50 x 1011 m is the mean Earth-Sun distance.) How far from the Sun will the comet travel before it starts its return journey' Sun 570 AU 2a Orbit is not drawn to scale.) 12. For a hydrogen atom in its ground state, use the Bohr model to compute the following: (a) What is the orbital speed of the clectron? (b) What is the kinetic energy of the electron? (c) What is the electrical potential energy of the atom?

Explanation / Answer

7.

Energy of radiation given by

E= 13.6(1/2^2-4^2)*1.6*10^-19= 4.08*10^-19

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Wavelegth, hc/lambda= 4.08*10^-19

6.636*10^-34*3*10^8/lamda= 4.08*10^-19

Lambda= 487.9 nm

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Frequency,

f= c/lambda= 3*10^8/(487.9*10^-9)

f= 6.15*10^14 Hz

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Plz post other problems seperately

Comment in case any doubt.. Good luck

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