(b) Now consider a spin 1/2 system and let Ja) and |B) be |sz = ħ/2) and |sæ Write down explicitly the square matrix that corresponds to |a)(B] in the usual +) sz basis. ħ/2), respectively.
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- - 1. Which of the following is quantized? (a) mass (b) charge (c) velocity (d) energy 2. Which of the following is a vector? (a) electric field (b) electric potential (c) energy (d) speed 3. You pay for electricity (a) because electrons are consumed. (b) because protons are consumed. (c) because electrons slow down. (d) because protons slow down. (a) is an inverse square law (b) is equivalent to gravitation (c) is experimental (d) is sometimes violated 5. Two positive charges separated by distance d, then pushed towards each other to distance d/2. (a) The force is halved (b) The force is quartered (c) The force remains the same (d) The force is quadrupled 4. Coulomb's LawIf someone wanted to build a scale model of the atom witha nucleus 1.00 m in diameter, how far away would the nearestelectron need to be?It's a quantum mechanics problem.
- This question relates to the practicality of searching for intelligent life in other solar systems by detecting their radio broadcasts (or aliens find us from ours). The closest stars are 4 light years away from us. How far away must you be from a 460 kHz radio station with power 50.0 kW for there to be only one photon per second per square meter? Assume that the photons spread out spherically. The area of a sphere is 4??24πr2. b) How many lightyears away is this?. Suppose a quanton's wavefunction at a given time is y(x) = A[1 + (x/a)2]-¹, where A is an unspecified constant and a = 4.0 nm. According to the table integrals dx √ [1 + (x/a)²]² = 1 + (x/a)²+2tan ¹ (2) If we were to perform an experiment to locate the quanton at this time, what would the probability of a result between x = 0 and x = 8.0 nm?The allowed energies of a quantum system are 0.0 eV, 5.5 eV , and 9.0 eV. What wavelengths appear in the system's emission spectrum? (Express your answers in nanometers in ascending order separated by commas).
- Help me pleaseDoes the Thomson model fail at large scattering angles or at small scattering angles? Why?Unexcited hydrogen atoms are bombarded with electrons that have been accelerated through 12.5 V. What is the highest energy level that the hydrogen atoms will be excited to? When the electron of the hydrogen atom is excited into the level in part a), what wavelength(s) is (are) possible for the photon emitted when the electron drops to a lower energy level? [Answer in 3 significant figures] a) b)