According to classical physics, an electron in periodic motion with emit electromagnetic radiation with the same frequency as that of its revolution. Compute this value for hydrogen atom in nth quantum theory permit emission of such photons due to transition between adjoining orbits ? Discuss the result obtained.

According to classical electromagnetic theory, calculate the initial frequency of the light emitted by the electron revolving around a proton in hydrogen atom.

According to Maxwell's theory of electron dynamics, an electron going in a circle should emit radiation of frequency equal to its frequency of revolution. What should be the wavelength of the radiation emitted by a hydrogen atom in the ground state if this rule is followed?

Hydrogen is the simplest atom of nature. There is one proton in its nucleus and an electron moves around the nucleus in a circular orbit. According to Niels Bohr's, this electron moves in a stationary orbit, if emits no electromagnetic radiation. The angular momentum of the electron is quantized , i.e., mvr = (nh//2 pi) , where m = mass of the electron , v = velocity of the electron in the orbit , r = radius of the orbit , and n = 1, 2, 3 .... When transition takes place from Kth orbit to Jth orbit, energy photon is emitted. If the wavelength of the emitted photon is lambda . we find that (1)/(lambda) = R [(1)/(J^(2)) - (1)/(K^(2))] , where R is Rydberg's constant. On a different planed, the hydrogen atom's structure was somewhat different from ours. The angular momentum of electron was P = 2n (h//2 pi) . i.e., an even multipal of (h//2 pi) . Answer the following questions regarding the other planet based on above passage: In our world, the velocity of electron is v_(0) when the hydrogen atom is in the ground state on the other planet should be

Hydrogen is the simplest atom of nature. There is one proton in its nucleus and an electron moves around the nucleus in a circular orbit. According to Niels Bohr's, this electron moves in a stationary orbit, if emits no electromagnetic radiation. The angular momentum of the electron is quantized , i.e., mvr = (nh//2 pi) , where m = mass of the electron , v = velocity of the electron in the orbit , r = radius of the orbit , and n = 1, 2, 3 .... When transition takes place from Kth orbit to Jth orbit, energy photon is emitted. If the wavelength of the emitted photon is lambda . we find that (1)/(lambda) = R [(1)/(J^(2)) - (1)/(K^(2))] , where R is Rydberg's constant. On a different planed, the hydrogen atom's structure was somewhat different from ours. The angular momentum of electron was P = 2n (h//2 pi) . i.e., an even multipal of (h//2 pi) . Answer the following questions regarding the other planet based on above passage: In our world, the ionization potential energy of a hydrogen atom is 13.6 eV . On the other planet, this ionization potential energy will be

Hydrogen is the simplest atom of nature. There is one proton in its nucleus and an electron moves around the nucleus in a circular orbit. According to Niels Bohr's, this electron moves in a stationary orbit, if emits no electromagnetic radiation. The angular momentum of the electron is quantized , i.e., mvr = (nh//2 pi) , where m = mass of the electron , v = velocity of the electron in the orbit , r = radius of the orbit , and n = 1, 2, 3 .... When transition takes place from Kth orbit to Jth orbit, energy photon is emitted. If the wavelength of the emitted photon is lambda . we find that (1)/(lambda) = R [(1)/(J^(2)) - (1)/(K^(2))] , where R is Rydberg's constant. On a different planed, the hydrogen atom's structure was somewhat different from ours. The angular momentum of electron was P = 2n (h//2 pi) . i.e., an even multipal of (h//2 pi) . Answer the following questions regarding the other planet based on above passage: The minimum permissible radius of the orbit will be

Using Bohr's theory show that when n is very large the frequency of radiation emitted by hydrogen atom due to transition of electrom from n to (n-1) is equal to frequency of revolution of electron in its orbit.

Show that for large values of principal quantum number, the frequency of an electron rotating in adjacent energy levels of hydrogen atom and the radiated frequency for a transition between these levels all approach the same value.

Calculate the ratio of the frequencies of the radiation emitted due to transition of the electron in a hydrogen atom from its (i) second permitted energy level to the first level and (ii) highest permitted energy level to the second permitted level .