A current of 21.0 mA is maintained in a single circular loop of 1.40 m circumference. A magnetic field of 0.520 T is directed parallel to the plane of the loop. (a) Calculate the magnetic moment of the loop. mA. m² (b) What is the magnitude of the torque exerted by the magnetic field on the loop? Submit Answer mN m .
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- Q 3. (i) What is Nernst Equation? The standard electrode potential of Zinc ions is 0.67V. Whatwill be the potential of 3M solution at 200K?(ii) Explain the concept of Fourier Transform IR spectroscopy.Chemical potential in two dimensions. Show that the chemical potential of a Fermi gas in two dimensions is given by: M(T) = kgT In [exp(mnh/mk;T)– 1] , for n electrons per unit area. Note: The density of orbitals of a free electron gas in two dimensions is independent of energy: D(e) = m/Th", per unit area of specimen.Consider a one-dimensional spin 1 model, defined by the Hamiltonian N N H = -JES;Si+1+DES}, where J> 0, D > 0 and Si = -1, 0, 1 (a) Use of periodic conditions of contour, calculate the automatic values of the transfer matrix. (b) Calculate the internal energy and entropy per spin. (c) What is the ground state (T = 0) of this model as a function of the parameter d = DIJ www Get an asymptotic form of the eigenvalues of the download matrix, t → 0 in the d-axis regions
- Determine the structure factor for the basis of the diamond. (a) S, =1+e 4+*+) basis (b) Spask =1+e? (c) Spasis =e (d) Spasis =1+ei+½+%)Which of the following statements results in an increased magnetic field strength inside a coil with N turns, radius R, and current I? Reduce the number of turns of wire in the coil. All of the above. Insert an iron rod into the middle of the coil. Reduce the current in the coil.(a) A silicon sample maintained at T = 300 K is uniformly doped with Nd = 1016cm-3 donors. Calculate the resistivity of the sample.
- (b) A system with chemical potential u = 12.5 meV contains identical particles each with integer spin and has a single quantum state at energy E, = 0 meV. The temperature of the system is fixed at 290 K. To three significant figures, what is the ratio Pg/P1, where P is the probability of finding a single particle in the state Eo, and P3 is the probability of finding 3 particles in this state? P3/P (Input your answer as a number.)Now consider the London interaction between the phenyl groups of two Phe residues (see Problem P14B.5). (a) Estimate the potential energy of interaction between two such rings (treated as benzene molecules) separated by 0.4 nm. For the ionization energy, use I = 5.0 eV. (b) Given that force is the negative slope of the potential, calculate the distance-dependence of the force acting between two non-bonded groups of atoms, such as the phenyl groups of Phe, in a polypeptide chain that can have a London dispersion interaction with each other. What is the separation at which the force between the phenyl groups (treated as benzene molecules) of two Phe residues is zero? Hint: Calculate the slope by considering the potential energy at r and r + δr, with δr << r, and evaluating {V(r + δr) − V(r)}/δr. At the end of the calculation, let δr become vanishingly small.Suppose the concentration of a solute decays linearly along the length of a container according to c(x) = c0 - αc0x, where c0 is the concentration at x = 0. Calculate the thermodynamic force on the solute at 25 °C and at x = 10 cm and 20 cm given that the concentration falls to 1/2c0 when x = 10 cm. Hint: Start by finding the value of α.
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