Given the internal energy U and entropy S of N weakly interacting particles in a closed system with fixed volume V. U = Nk₁T² (2lnz) әт (a) Prove the Helmholtz free energy U S = NkB ln z + T (b) Prove the Pressure of the system is F = -NkBT ln z
Q: An object oscillates such that its position x as a function of time t obeys the equation x (1) =…
A: It is general equation of S.H.M.x(t)=asin(wt).
Q: Problem 30. 1989-Spring-QM-U-3.jpg ID:QM-U-653 A spin-1/2 particle's state space has a basis |+),…
A:
Q: A double-slit interference pattern is observed on a screen with the intensity graph. Points A, B, C,…
A: Given:The wavelength of the green light is, In the figure, we have to calculate the path difference…
Q: A circuit contains a 10.0 2, a 12.0 2, and a 6.0 2 resistor. Calculate the minimum amount of…
A:
Q: A conducting sphere radius "a" has a free charge "Q". The sphere is surrounded by a concentri…
A:
Q: Let’s presume the Atlantic Ocean is roughly rectangular and can only change as a function of depth.…
A: The depth of the Atlantic Ocean,Change in temperature,To find the rise in ocean, if the average…
Q: In the figure, an electron is shot with an initial speed of 1400 m/s from plate A to plate B, where…
A: It is given that,The initial speed of the electron is The final speed of the electron is The plate…
Q: Some interstellar Properties. Use excel calculator to fill in the missing figures. 1 ly = 365 × 24 ×…
A: A Table of a list of stars is given with their masses (given in solar masses) and distance to the…
Q: A pendulum consists of a mass m and a massless stick of length l. The pendulum support oscillates…
A: It is given that a pendulum consists of a mass m and a massless stick of length l. The pendulum…
Q: If B is the uniform magnetic field and the potential A=1/2 (B xr), calculate div A.
A: I have written the given things
Q: An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration…
A:
Q: A test car starts from rest on a horizontal circular track of 65-m radius and increases its speed at…
A: To determine the magnitude of total acceleration we will have to calculate the tangential…
Q: 1.1- Which of the following Einstein's coefficient represent spontaneous emission? a) A12 b) A21 c)…
A: The correct options.
Q: A building consists of two floors. The first floor is attached rigidly to the ground, and the second…
A:
Q: Fig. 6.8 M m 0 6.9 Problems Section 6.1: The Euler-Lagrange equations 6.1. Moving plane ** A block…
A:
Q: In a gas identical, weakly interacting particles in a state with degeneracy 6 has 4 particles. The…
A: Total number of states, g=6Total number of particles, N=4
Q: A conductive loop on the x-y plane is bounded by p = 2.0 cm, p = 6.0 cm, 0 = 0º and 90°. 1.5 A of…
A: To determine the magnetic field strength (H) at the origin due to the current flowing in the…
Q: If the volume charge density inside a sphere of radius R that is surrounded by vacuum is given by P…
A:
Q: A heart defibrillator being used on a patient has an RC time constant of 15.0 ms due to the…
A: The time constant is The capacitance is The initial voltage is The final voltage is V=999 V
Q: Two objects attract each other gravitationally with a force of 2.5×10-10 N when they are 0.65 m…
A: It is given that, The gravitational force between the objects is…
Q: The figure shows three infinitely long wires that carry currents directly into or out of the plane…
A: It is given that, The current, . The current,…
Q: HOMEWORK 9-11 Consider the loop-de-loop track. A small round object with radius r<<R is placed on…
A:
Q: Calculate the momentum Pelephant of a 2060 kg elephant charging a hunter at a speed of 7.51 m/s.…
A: We will first write an expression for momentum of an object. Then we will use this expression to…
Q: A 500Kg Ford focus automobile is initially travelling at vi, focus=(60i + 20j)Km/hr when it…
A: Given that:
Q: Fig. 6.14 M m Section 6.7: Small oscillations 6.10. Hoop and pulley ** A mass M is attached to a…
A: Let the radius to M make an angle θ with the vertical (see Fig. 6.44). Then the coordinates of M…
Q: 3. When the first railroad was built from the east coast to the west coast across India, the…
A:
Q: Use backward-difference formula to evaluate the first derivative of y = x2 + 4x – 5 at x=0 using a…
A: Given equationTo Find,First derivative of the function using the backward-difference formula Formula…
Q: In general it is best to conceptualize vectors as arrows in space, and then to make calculations…
A: It is given that, The three vectors are
Q: An object of mass m r = ro 1+cos 0 moves in a parabolic trajectory given by (ro = 12). mk a)…
A:
Q: Find the potential difference across each resistor in the figure below. (R₁4.60 , R₂ = 4.20 , R₂ =…
A: Given that:Resistance
Q: If you look at it, there is an Ag atom with an atomic number of 47. Then, there are electrons from…
A:
Q: A single electron ion M(Z-1)+ with atomic number Z<84 emits a photon during an unknown electronic…
A: Regular reflection occurs when all of the reflected rays from a certain smooth surface are parallel…
Q: A particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is…
A: particle having mass m = 2.80E-4 kg negative charge q= −1.70E-6 C . The particle is given an…
Q: One body mass m = 1.53kg hanging from a rope wrapped around a pulley radius R = 33cm. The wheel…
A:
Q: How we get 0,46?
A: It is given that, The mass of the block, m=2500 grams=2.5 kg.…
Q: The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a…
A: GivenThe end plates (isosceles triangles) of the trough shown were designed to withstand a fluid…
Q: 4. Determine whether the operators for position and momentum , are Hermitian. 5. Determine the…
A:
Q: A system with 3 (three) indistinguishable particles has five energy states: E1 = 0, E2 = E, E3 = 2E,…
A: To determine the possible formations of the system with three indistinguishable particles that…
Q: An object AB is placed a distance p from a concave mirror as shown in the figure below. Using ray…
A: For drawing the ray diagram, we can consider two rays,1. Parallel to the axis2. Passing through the…
Q: A current I is flowing through two concentric tubes with inner radii r₁ and r2 and wall thickness d…
A:
Q: Consider a system of N particles that interact via an attractive gravi- tational force that is…
A: To determine the trajectories of the particles in the given system, we can use Newton's second law…
Q: A Gaussian laser beam with w0 = 0.5 cm and a planar phase front is incident on a lens with focal…
A: Given,Beam waist (w0)= 0.5 cmFocal Length (f) = 10 cmWavelength () = 800 nm(a) The new beam waist…
Q: 1) A wire is bent into the shape shown in the figure, two arcs of a circle connected by radial…
A: Given, The radius of first arc is The radius of second arc is R2.…
Q: A car P travels along a straight road with a constant speed v= 79 mi/hr. At the instant when the…
A: The Schematic diagram of the system is given below:Here the Velocity is divided into two components…
Q: A 23.6 kg dog is running northward at 2.83 m/s, while a 7.27 kg cat is running eastward at 2.83 m/s.…
A: A dog of massrunning northwards at a velocity northwardsand a cat of massis running eastward with a…
Q: Problem 1: Equations describing forces and their magnitudes on the figure beneath are the following:…
A: A figure showing 3 forces we need to find out which of the following statements are true
Q: A 10-gauge copper wire (diameter = d = 2.588 mm, p = 1.7 x 10-8-m) has a total resistance of 0.32 Q.…
A: Diameter Resistivity Resistance Length
Q: 2. The below diagram represents the temperature change of a solid when it is heated steadily until…
A: The given diagram shows changes in phase of a substance. The characteristics of different parts…
Q: A bar has length L = 2 m and mass m =20kg. The bar is hung at the ends A and B with two springs of…
A:
Q: A bicycle travels 9.50 km due east in 0.760 h, then 13.80 km at 15.0° east of north in 0.280 h, and…
A: We will first draw a diagram showing the displacement vector. Then we write an expression for…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 13 images
