Find the Miller Indices of a plane whose intercepts are (2,1,3).

Q: Is the Schrödinger equation for a particle on an elliptical ring of semi-major axes a and b…

A: The Schrodinger equation for a particle on an elliptical ring of semi-major axes a and b are not…

Q: Find the measures of the angles of the triangle whose vertices are A = (5, 8, 9), B = (4, 3,9), and…

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Q: prove that n = VE,

A: given data :-

Q: The divergence and curl of the function f(r, 0, q) = (r* sec 0)e, is ...... (4r^(3 ) sece)er ( [4r)…

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Q: prove e that 2. 1.

A: The distributive property is used here.

Q: Using the del operator in tesian coordinates to derive the operator in the cylindrical

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Q: as

A: Obtain the miller indices    a1 a2 z Intercept -a -a c2 Intercepts in terms of lattice…

Q: Write the matrices which produce a rotation θ about the x axis, or that rotation combined with a…

A: The matrices which produce a rotation θ about x-axis is given by, A=1000cosθ-sinθ0sinθcosθ

Q: A heavy particle is projected from a point at the foot of a flying plane, inclined at an angle 45°…

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Q: Show that if a matrix is orthogonal and its determinant is +1, then each element of the matrix is…

A: Let A is an orthogonal matrix with determinant equal to+1. Orthogonal matrix, AAT=1…

Q: Consider the following Hermitian matrix 3 1 i 2 1i a) find the eigenvalues find the eigenvectors b)…

A: (a)The eigen values is,

Q: Prove the Jacobi identity: A × (B × C) + B × (C × A) + C × (A × B) = 0. Hint:Expand each triple…

A: A × (B × C) + B × (C × A) + C × (A × B) = 0

Q: Prove that

A: To prove: It is known that:

Q: Given the following matrix 3 3 1 5 Find its two eigenvectors. (A 3 and H2 0. B 3 and A, !! R -3 and…

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Q: Find the median from the set of No. (4,10,9,6,15,23,20)

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Q: Find the the Gradient of (f(Zy-3))

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Q: Let f(x) = 4xe- sin(5x). Find the third derivative of this function. Note e* is denoted as e^x…

A: Derivative of two multiplicative function is given as  (fg)′=f′g+fg′

Q: Find the Dual of the function below and check if it is self-dual: F4 = (XY + YZ + ZX)

A: SOlution: given that F4 = (XY + YZ + ZX) to verify whether it is self dual.

Q: Q311 Find the eigenvalues and the eigenvectors of the 1. matrix A= 3.

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Q: What are Miller's coefficients for a surface that cuts from the x-coordinate two units and the…

A: The intercepts on x, y and z is given as  x = 2 units y = -3 units  z = ∞  ( since the surface is…

Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in spherical coordinates…

A: Please see the answer below

Q: equations satisfies

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Q: Two operators A and B commute with each other if

A: The commutator of two operators A and B is given by,  A, B=AB-BA ----(1)

Q: If A = (x²y)î + (2y z)j+ (xyz?)k, find the gradient of the divergence of A at the point (-1,1,-2)…

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Q: Consider a Lagrangian given by: L(r,i) )= mi2-k?. %3D Here x is the generalized coordinate. Evaluate…

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Q: Let f(z)= u(xx)+ i V(x>Y) be analytic Find the Cauchy-Reimann eguations polar Coordinate& ? function…

A: The necessary conditions for a function f(z)=u+iv to be analytic at all the points in a region R…

Q: Find the modified wavenumber for the operator derived. Plot the real and imaginary parts of K*A vs.…

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Q: Consider a cube with one corner at origin and the other corner along the body diagonal at (1,1,1).…

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Q: Prove the relationship fP, >=<- dt

A: Prove the relation : ddt&lt;Px&gt;=&lt;-∂U∂x&gt;

Q: H.W.: prove that the eigenfunctions , (x) =cos (x) and 3 (x) =cos x) 2a are orthogonal.

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Q: unction D çâp in spherical polar coordinates is

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Q: Find the poisson brackets [F,G] for the functions: F = q1 +q2p{ and G = q +2p3

A: given: F=q1+q2p12G=q22+2p22

Q: The only possible outcome to measure the observable is one of the eigenvalues of any operator À…

A: Yes, it is true. Eigen values of the operators are the measures to the observable.

Q: Consider the following scalar and vectors: Ã = 41+ 3) + 7k T = 3x+8yz + 2zx 1. Calculate for the…

A: REQUIRED  LAPLACIAN. DIVERGENCE.

Q: In Poincare transformation if scalar field is invariant under translation, then prove that generator…

A: In this question we have to answer related to Poincare Transformation.Please give positive feedback…

Q: Which of the following is the conserved quantity if the system having Lagrangian 1 (а) Р. (b) Р, (c)…

A: Lagrangian of a system is a function of generalised coordinate, first derivative of this generalised…

Q: Show that the total energy eigenfunctions ψ210(r, θ, φ) and ψ211(r, θ, φ) are orthogonal. Do you…

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Q: Q.1CC)IFE igen value of matrix is d, the corresponding eigen for matrix -882 vector is Lil 32 then d…

A: Given: The matrix is given as Let X be the Eigenvector matrix.

Q: or a one dimensional system, x is the position operator and p the momentum operator in the x…

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Q: If a regular polygon has 18 sides, find the measure of each interior angleand the measure of each…

A: Each interior angle of a n sided polygon will be given by following formula: Take n = 18…

Q: If the vector A(x,y,z) is perpendicular to the closed surface S prove that: where T is the volume…

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Q: Q A parricle of mass m is projecred to the right with initial kineric Energy To subjecr Fo F(x) =…

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