Write the expression for Bohr’s radius in hydrogen atom.
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Write the expression for Bohr’s radius in hydrogen atom.
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- What wavelength of light is emitted by a hydrogen atom in which an electron makes a transition from the n = 7 to the n = 4 state? Enter this wavelength expressed in nanometers. 1nm = 1 x 10-9m. Assume the Bohr model.What wavelength of light is emitted by a hydrogen atom in which an electron makes a transition from the n = 6 to the n = 1 state? Enter this wavelength expressed in nanometers to one decimal place. Assume the Bohr model.Consider a Bohr model of doubly ionized lithium. (a) Write an expression similar to E, = -13.6/n² eV for the energy levels of the sole remaining electron. (Use the following as necessary: n.) 122.4 E, v ev n° (b) Find the energy corresponding to n = 5. (Enter your answer to at least one decimal place.) -4.89 ev (c) Find the energy corresponding to n = 3. (Enter your answer to at least one decimal place.) -13.6 ev (d) Calculate the energy of the photon emitted when the electron transitions from the fifth energy level to the third energy level. Express the answer both in electron volts and in joules. 8.71 V ev 1.395e-18 (e) Find the frequency and wavelength of the emitted photon. 6.2e15 Your response differs from the correct answer by more than 100%. Hz 48 Your response differs from the correct answer by more than 10%. Double check your calculations. nm (f) In what part of the spectrum is the emitted light? O visible light region O infrared region O gamma ray region O x-ray region…
- Consider a hydrogen atom in its 1s state (ground state) and assume (for simplicity) that the electron and the proton are separated by a constant distance a, = 5.292 × 10–1'm (called the Bohr radius). (a) Calculate the gravitational force between these two charges. (use: Fg = G"m2) (b) Calculate the electric force between these two charges. (use: Fe = k«l&i[IQzl) (c) Calculate the ratio of these two forces to appreciate the strength of the electric force in comparison to the gravitational force.Using the Bohr model of the atom, calculate the electron’s velocity in the ? = 4 state ofhydrogen.Find the radius and velocity of the electron in n=3 level in hydrogen atom .