Ex. 2: Find the maximum kinetic energy of electrons injected from a certain material if materials function is 2.3 eV and work work frequency of the incident is 3.0 x 10¹5 Hz.
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- An electron is in the ground state of a square well of width L = 4.00 x 10-10 m. The depth of the well is six times the ground-state energy of an electron in an infinite well of the same width. Part A What is the kinetic energy of this electron after it has absorbed a photon of wavelength 79 nm and moved away from the well? Express your answer in electron volts. K = ΜΕ ΑΣΦ Submit Request Answer ? eVQ²- A system of two energy levels E, and E₁ is populated by N particles at temperature T. The particles populate the energy levels according to the classical distribution law. (a) Derive an expression for the average energy per particle. (b) Compute the average energy per particle vs the temperature as T → 0 and T → co (c) Derive an expression for the specific heat of the system of N particles (d) Compute the specific heat in the limits T→ 0 and T → ∞o.3. The classical partition function of a gas of noninteracting indistinguishable particles is written as exp{- N! 2m Z= where N is the number of particles of mass m, r, and p, are the position and the momentum of the ith particle, B = 1/(kpT), and Tis the temperature of the gas. The volume of the gas is V. (a) Find the analytic expression of the partition function of the gas. (b) Obtain the total mean energy E of the gas from the partition function. (c) Obtain the entropy S of the gas from the partition function and the total mean energy. Lexp(-x³xdx = Va Hint:
- Consider a model of an electron as a hollow sphere with radius R and the electron charge -e spread uniformly over that surface. d. Use Einstein’s equation relating rest mass to energy to derive a value for R. Unfortunately, your answer will be model-dependent. The traditional “Classical radius of the electron” is derived by setting the electrostatic work to be e2/(4pi e0 R)Please asapProblem 1: Two non-thermal plasmas have the same electron temperature. The ion temperature is 300K. One is run in Argon, the other in Helium. Which of the two has the smaller potential drop in the sheath? Motivate your answer.
- In the Millikan oil drop experiment tiny charged oil droplets generated by a spray are allowed to fall under gravity through a hole in a top electrode, T, towards a bottom electrode B separated from T by 1 cm. When a holding voltage Vh = +0.25V is applied between T and B the droplets are seen to be suspended motionless between the electrodes. What is the specific charge of the droplet q/m? Select one: a. 2.7 C/kg b. 1.5 C/kg c. 0.16 C/kg d. 0.392 C/kgRegion 1 is x 0 with &2 = 460. If E2 = 6a - 10a, + 8a: V/m, (a) find P1, and P2, (b) calculate the energy densities in both regions.The threshold frequency of a polished metal surafce is 8.80 x1014Hz. The work function of the surface is? _eV