According to Bohr's theory, how many revolutions will an electron make in the first excited state of hydrogen if the lifetime of that state is 10-8 s?
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- A hydrogen atom in an excited state can be ionized with less energy than when it is in its ground state. What is n for a hydrogen atom if 0.278 eV of energy can ionize it?A proton is in a one-dimensional box of width 7.8 pm (1 pm = 1 x 10-¹2 m). The energy of the proton is equal to the absolute value of the ground state of a hydrogen atom. What state is the proton in?A hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n = 3. What is the energy of the absorbed photon?
- The quantum state of an electron in an atom is described by quantum numbers n = 6, ℓ = 5, and mℓ = 2. The z-component orbital angular momentum of the electron is measured to be x × h/2π, where h is Planck’s constant. What is the number x (remember to use the scientific notation)?Find the radius, speed and de Broglie wavelength of an electron in the n = 3 state of a hydrogen atom according to Bohr's model of the atom.The ground state energy of hydrogen atom is -13.6 eV. (i) What is the potential energy of an electron in the 3rd excited state? (ii) If the electron jumps to the ground state from the 3rd excited state, calculate the wavelength of the photon emitted.