Question 1: Consider the following situation: For the hydrogen atom in its ground state pictured on...
Consider a hydrogen atom with radius R=5.29×10^-11 m. Treat the orbiting electron as a current loop. If this electron proton system is placed in a magnetic field of 0.400T which is perpendicular to the magnetic moment of the loop, what is the torque?
Consider a hydrogen atom with radius R=5.29×10^-11 m. Treat the orbiting electron as a current loop. If this electron proton system is placed in a magnetic field of 0.400T which is perpendicular to the magnetic moment of the loop, what is the torque?
In the bohr model of the hydrogen atom the electron is in a circular orbit of r = 5.29 x 10^-11m around the nuclear proton. The mass of the electron is 9.11 x 10^ -31 kg. Find the speed of the electron. Hint: use Coulomb’s law and the concept of the force for an object going in a circular motion.
In the Bohr model of the hydrogen atom, the electron moves in a circular orbit of radius with a speed of5.3 x 10^-11m with a speed of 2.2 x 10^6 m/s.Find the magnitude of the magnetic field that the electron produces at the location of the nucleus (treated as a point).B = _____T
P3. In a hydrogen atom in its lowest energy state (known as the ground state), the electron forms a spherically-symmetric "cloud" around the nucleus, with a charge density given by ρ-A exp(-2r a ), where a,-0.529 Â-0.529 × 10-10 m is the Bohr radius. (a) Determine the constant A. (b) What is the electric field at the Bohr radius?
with required formula the position 5. Consider a electron as Hydrogen atom with radius R = 5.29x10"m. current loop. If Treat the on orbiting this electron-proton system is placed in a magnetic field of 0.400T which is perpendicular to the magnetic moment of the loop, what is the torque ? (me = 9.11*10-31 kg , 1968- 1.60*10'SC)
1. Calculate the wavelength, in nanometers, of emitted light from hydrogen as the electron's energy state goes from n = 4 to n = 2. Rydberg Constant is 1.097×107 m-1. 2. Find the radius of a hydrogen atom in Å (10-10 m) in the n = 5 state according to Bohr’s theory. Remember, the Bohr radius is 5.29×10-11 m. 3. Calculate the ratio of the angular momentum to the electron spin angular momentum for an l = 1 electron.
1) (60 points) The ground state of the hydrogen atom: In three dimensions, the radial part of the Schrodinger equation appropriate for the ground state of the hydrogen atom is given by: ke2 -ħ2 d2 (rR) = E(rR) 2me dr2 where R(r) is a function of r. Here, since we have no angular momentum in the ground state the angular-momentum quantum number /=0. (a) Show that the function R(r) = Ae-Br satisfies the radial Schrodinger equation, and determine the values...
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting a massive, stationary proton in a circular path of radius ao, equal to 0.529*10^-10 m. Calculate the speed of an electron in this circular orbit. Calculate the electric potential at a radius 0.4*ao, measured from the proton. Is gravity a significant factor in this situation? Does the problem statement make any assumptions that might be invalid? pt a. (7 pts) Find the value of...
Consider the Bohr model of the hydrogen atom in the ground state. Calculate the power radiated classically (in the dipole approximation).