Find the radius and velocity of the electron in n=3 level in hydrogen atom .
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Find the radius and velocity of the electron in n=3 level in hydrogen atom .
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- Apply the Pauli exclusion principle to determine the number of electrons that could occupy the quantum states described by the following. HINT (a) n = 4, { = 3, m2 : = -1 electrons (b) n = 3, { = 2 %3D electrons (C) n = 4 electrons(a) For a given value of the principal quantum number n for a hydrogen atom, how many values of the orbital quantum number l are possible? (b) For a given value of , how many values of the orbital magnetic quantum number ml are possible? (c) For a given value of n, how many values of ml are possible?(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is αc/n, where α is the fine structure constant, equal to e2/4πε0ħc. (b) What would be the speed in a hydrogen like atom with a nuclear charge of Ze?
- A region in space around a nucleus where there is a high probability of finding an electron is called a Bohr orbit. True FalseWhat is the probability that the n=1 electron of a hydrogen atom is found between r=0 and r=∞? Support your answer.If an atom has an electron in the n = 4 state with m = 3, how many possible values of 1 are there?
- Using the Bohr model of the atom, calculate the electron’s velocity in the ? = 4 state ofhydrogen.Use the Balmer equation to describe the atomic spectra for hydrogen.Recall for an the hydrogenic (single electron) atom 2s (r) = 2,0,0 (r, 0, 4) Φ2p (r) = Φ2,1,0 (r,θ, φ) - = 2p (7) = 2p_ (F) = 2,1,1 (r, 0, 6): = 2,1,-1 (r, 0,6) 1 4√2π/² p 1 3/2 ao 4√/2πа = 2 δεν παρ Tº 3/2 ao 8√πа 3/2 ao 1) e-r/2² ao e ○ (02s (71)2p, (72) + O2p. (71)02s (72)) O 02s (1) 2po (2) ○(28 (71)2p, (72) – $2p. (71)¢2s (72)) O 02s (1)02s (F2) T -T 12a0 •/200 cos 0, /2ao sin 0 etic. r/2ao sin 0 e-iç Consider the helium atom (two electron system). Suppose the spin part is one of the triplet. Which of the following can be a possible space part?
- In hydrogen atom an electron revolves around a nucleus in an orbit of radius 0.053 nm . If the frequency of revolution of electron is 6.6×10^15 Hz. Find the magnetic moment of the orbiting electron.A hydrogen atom is placed in a 2.4 T magnetic field. What are the possible energy values for a 2p electron with and without magnetic field if we dont consider spin?Find the longest wavelength present in the Balmer series of hydrogen, corresponding to the Ha line.