A hydrogen atom is in its first excited state (n = 2). Calculate the potential energy of the system.

A hydrogen atom is in its first excited state (n = 2). Calculate the angular momentum of the electron.

A hydrogen atom is in its first excited state (n = 2). Calculate the radius of the orbit.

A hydrogen atom is in its first excited state $(n=2)$. Using the Bohr theory of the atom, calculate (e) the potential energy

Consider an electron in its first excited state in a hydrogen atom. Determine its (a) orbital speed, (b) angular speed, (c) linear momentum, and (d) angular momentum.

In a hot star, a multiply ionized atom with a single remaining electron produces a series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that terminate in lengths of the series are 63.3 nm and 22.8 nm, respectively. (a) What is the ion? (b) Find the wavelengths of the next three spectral lines nearest to the line of longest wavelength.

A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the potential energy.

What is the energy in eV of a photon that, when absorbed by a hydrogen atom, could cause a transition from the n = 3 to the n = 6 energy level?

A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the linear momentum of the electron,

Consider a hydrogen atom in the ground state, what is the energy of its electron? Now consider an excited- state hydrogen atom, what is the energy of the electron in the n=4 level?

How much energy would an electron in the ground state of a hydrogen atom need to absorb in order to ionize the atom? (A) $0.85 \mathrm{eV}$ (B) $12.1 \mathrm{eV}$ (C) $12.8 \mathrm{eV}$ (D) $13.6 \mathrm{eV}$

Consider steady two-dimensional heat transfer in a long solid bar of (a)square and (b)rectangular cross sections. The measured temperatures at selected points of the outer surfaces are as shown. The thermal conductivity of the body is $k=20 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, and there is no heat generation. Using the finite difference method with a mesh size of $\Delta x=\Delta y=1.0 \mathrm{~cm}$, determine the temperatures at the indicated points in the medium.

Consider the base plate of an 800-W household iron with a thickness of L = 0.6 cm, base area of $A = 160 cm^2,$ and thermal conductivity of $k = 60 W/m \cdot K$ The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface temperature of the plate is measured to be $112 ^\circ C.$ Disregarding any heat loss through the upper part of the iron, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the plate, (b) obtain a relation for the Variation of temperature in the base plate by solving the differential equation, and (c) evaluate the inner surface temperature.

Consider a large uranium plate of thickness 5 cm and thermal conductivity $k = 28 W/m \cdot K$ in which heat is generated uniformly at a constant rate of $\dot{e}=6 \times 10^{5} \mathrm{W} / \mathrm{m}^{3} .$ One side of the plate is insulated while the other side is subjected to convection to an environment at $30^\circ C$ with a heat transfer coefficient of $h = 60 W/m^2 \cdot K.$ Considering six equally spaced nodes with a nodal spacing of 1 cm, (a) obtain the finite difference formulation of this problem and (b) determine the nodal temperatures under steady conditions by solving those equations.