![2. (a) Use the Bohrs model of the hydrogen atom to show that when the electron moves from the state n to the state n - 1, the frequency of the emitted light 1S 2h3n (b) Simplify the above expression as n ? oo (c) Hence or otherwise, show that the above equation reduces to the classical frequency one expects the atom to emit. Hint: To calculate the classical frequency, note that the frequency of revolution is v/2?? where u is the speed 110] of the electron and r is the radius of orbit](http://img.homeworklib.com/questions/215f1640-172e-11ec-b5b9-8540eb6c2f77.png?x-oss-process=image/resize,w_560)
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2. (a) Use the Bohr's model of the hydrogen atom to show that when the electron...
Problem 1 (25 points). According to the Bohr's model of the hydrogen atom, the total energy...
Problem 1 (25 points). According to the Bohr's model of the hydrogen atom, the total energy of the electron in the nth orbital _ mg is E. =- 13.6(en) 16) where n=1,2,...and K = 4Tt€ in MKS units and m is the electron 2nK?? ? mass=9.11x10 kg; leV=1.6x10-19Joules. a) n=1 is the ground state of the Hydrogen atom and has value E= -13.6 eV. Explain why this value is negative. Define the ionization energy and calculate it for Hydrogen atom...
Consider an electron transition from n 5 to n =3 of a hydrogen atom. 5. Use...
Consider an electron transition from n 5 to n =3 of a hydrogen atom. 5. Use Bohr's H model to calculate the energy required to for this electron transition. Will the hydrogen atom absorb or emit energy during this transition? a) What wavelength of light will the hydrogen atom absorb or emit in this electron transition? b) A rifle bullet (mass-4.20 g) has a velocity of 2160 mph. What is the wavelength associated with this bullet? (1 km 0.62137 mil)...
In Bohr's model of a Hyodrogen atom, electrons move in orbits labeled by the quantum number...
In Bohr's model of a Hyodrogen atom, electrons move in orbits labeled by the quantum number n. Find the radius, in meters, of the orbit of an electron around a Hydrogen atom in the n = 5 state according to Bohr’s theory.
State Bohr's postulates and use them to determine the expression for i) radius of Bohr orbit...
State Bohr's postulates and use them to determine the expression for i) radius of Bohr orbit ii) total energy of the electron in a hydrogen atom in the nth state
Find the frequency of revolution of the electron in the classical model of the hydrogen atom....
Find the frequency of revolution of the electron in the classical model of the hydrogen atom. In what region of the spectrum are electromagnetic waves of this frequency?
Bohr model of an atom In the Bohr model of an atom (see figure below) the...
Bohr model of an atom In the Bohr model of an atom (see figure below) the electrons move on fixed circular orbits around the nucleus. On the th orbit the magnitude of the angular momentum of the electron is given by where ћ 6.626 x 10-34 m 2 kg/s is the reduced Planck constant. +Ze (a) Calculate the radius r of an electron orbit in the hydrogen atom. Express your answer in terms of n, ћ, co, the electron charge...
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron f...
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron falls back to the lower energy levels, light is emitted. What are the three longest-wavelength spectral lines emitted by the hydrogen atom as it returns to the n = 1 state from higher energy states? Give your answers to three significant figures. The lowest possible state, n = 1, corresponds to the electron in its smallest possible orbit; it...
(5) using the Bohr's equation for hydrogen atoms, determine the energy change when the elcetron in...
(5) using the Bohr's equation for hydrogen atoms, determine the energy change when the elcetron in a hydrogen atom jumps: (a) from orbit n=1 to n=5; (b) from orbit n=2. In each electronic transition (jump) indicate whether energy is absorbed or released b the electron. (c) in the case in which energy is released in the form of light photon, calcuate the wavelength (λ) and the freof the photon?
Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each...
Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each of the following transitions. n=4+n=3 Express the frequency in inverse seconds.
In a classical model of the hydrogen atom, the electron orbits the proton in a circular...
In a classical model of the hydrogen atom, the electron orbits the proton in a circular orbit of radius 0.053 nm. What is the orbital frequency? The proton is so much more massive than the electron that you can assume the proton is at rest. Answer is in hertz.
Problem 1 (25 points). According to the Bohr's model of the hydrogen atom, the total energy of the electron in the nth orbital _ mg is E. =- 13.6(en) 16) where n=1,2,...and K = 4Tt€ in MKS units and m is the electron 2nK?? ? mass=9.11x10 kg; leV=1.6x10-19Joules. a) n=1 is the ground state of the Hydrogen atom and has value E= -13.6 eV. Explain why this value is negative. Define the ionization energy and calculate it for Hydrogen atom...
Consider an electron transition from n 5 to n =3 of a hydrogen atom. 5. Use Bohr's H model to calculate the energy required to for this electron transition. Will the hydrogen atom absorb or emit energy during this transition? a) What wavelength of light will the hydrogen atom absorb or emit in this electron transition? b) A rifle bullet (mass-4.20 g) has a velocity of 2160 mph. What is the wavelength associated with this bullet? (1 km 0.62137 mil)...
Find the frequency of revolution of the electron in the classical model of the hydrogen atom. In what region of the spectrum are electromagnetic waves of this frequency?
Bohr model of an atom In the Bohr model of an atom (see figure below) the electrons move on fixed circular orbits around the nucleus. On the th orbit the magnitude of the angular momentum of the electron is given by where ћ 6.626 x 10-34 m 2 kg/s is the reduced Planck constant. +Ze (a) Calculate the radius r of an electron orbit in the hydrogen atom. Express your answer in terms of n, ћ, co, the electron charge...
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron falls back to the lower energy levels, light is emitted. What are the three longest-wavelength spectral lines emitted by the hydrogen atom as it returns to the n = 1 state from higher energy states? Give your answers to three significant figures. The lowest possible state, n = 1, corresponds to the electron in its smallest possible orbit; it...
Calculate the frequency of the light emitted when an electron in a hydrogen atom makes each of the following transitions. n=4+n=3 Express the frequency in inverse seconds.
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