V(x) = 1½ kx² + yx³ + ¼ 1½ бx² 4 Your energy should be expressed in terms of the parameters k, y, &, Planck's constant h (or h), and the reduced mass, μ.
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Use perturbation theory to calculate the first-order correction to the ground state energy of
an anharmonic oscillator whose potential energy is given by,
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- 3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature is given by 1 Assuming the accepted accuracy for h, R, and m are very high, what is the V3MRT maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?1.2. Calculate the frequency, wavelength and momentum of a (a) 10 eV, and (b) 10 MeV photon of energyFind Relative error for the find planck constant: h = (1.60217662 x 10^-19)(4.1628 10^-6 ±1.25718 10^-7)/(299792458)
- 10QM. Please answer question throughly and detailed.What is the uncertainty in the temperature difference, ΔT, between the two temperature T1 = (25.0 ± 0.5) oC and T2 = (30.0 ± 0.3) oC?07.1. Given the following values for P₁, P2, and 1₁AL₁, calculate AH₂: (a) P₁(0, 0, 2), P₂(4, 2, 0), 27a-A-m; (b) P, (0, 2, 0), P₂(4, 2, 3), 27a₂A-m; (c) P₁(1, 2, 3), P₂(-3,-1, 2), 27(-a, +a, +2a₂)µA-m.
- An atom of rhodium (Rh) has a diameter of about2.7 * 10-8 cm. (a) What is the radius of a rhodium atom inangstroms 1A° 2 and in meters (m)? (b) How many Rh atomswould have to be placed side by side to span a distance of6.0 mm? (c) If you assume that the Rh atom is a sphere, whatis the volume in m3 of a single atom?Suppose that Vsound = (32 ± 7) x 101 m/s and that we want to find the temperature in Kalvin by using the following formula: T = (50und)2. Find the value of the 20 Temperature in degree Celsius (°C) and his uncertainty. Thank youFind the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v. Your measured mass and velocity have the following Sm = uncertainties = 1.33 kg and SV = 2.15 m/s. What is the uncertainty in energy, SE , if the measured mass, m = 2.47 kg and the measured velocity, v = -31.26 m/s?
- An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.4. In Section 1.3 we used dimensional analysis to show that the size of a hydrogen atom can be understood by assuming that the electron in the atom is wave-like and non-relativistic. In this problem we show that, if we assume the electron in the atom is a classical electron described by the theory of relativity, dimensional analysis gives an atomic size which is four orders of magnitude too small. Consider a relativistic, classical theory of an electron moving in the Coulomb potential of a proton. Such a theory only involves three physical constants: m, /4mc9, and e, the maximum velocity in relativity. Show that it is possible to construct a length from these three physical constants, but show that it too small to characterize the size of the atom.Calculate the standard uncertainty in z if z=Xsinθ using the angle (45.00 ± 0.74) degrees and the value X = (23.60 ± 0.51) z = ___±___