If A =2yzi-x^2 yj + xz(^2)k, B = 3xi +4zj -xyk and ∅= xyz, find (Ax ∇)(B.∅)

Q: Because V acts only on the unprimed coordinates, the term Vx J(F'") vanishes and because the…

A: Here let us consider the current density is a function of r'. Let the magnetic field is to be…

Q: Find the principal invariants, principal values and principal directions of the order tensor T,…

A: The tensor given in the question is  T=3-10-130001 This is a symmetric tensor. TT=T Let us calculate…

Q: 5. Show that for all states of a particle in a box. Is this result physically reasonable?…

A: We have a particle in a 1-dimensional box of side say 'a' then we need to prove that the expectation…

Q: Q = log (sin p) P = q cot p,

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Q: Let A = Ao sin(ωt − βz)ax Wb/m in free space. (a) Find V and E. (b) Express β in terms of ω, εo, and…

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Q: Find the partial derivative of the x component of the given function: -x(x2+y2+z2)-3/2

A: Given, The function fx,y,z=-xx2+y2+z2-32

Q: Prove the triple product identity Ax(B×C)= B(A·C)-C(A·B).

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Q: Check if the following operators with the corresponding functions could form an eigen value…

A: Operators form an eigenvalue equation with function, if the function is an eigenvector of the…

Q: Prove that the expression e*/(1+ e*)² is an even function of x.

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Q: The eigenvalues a

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Q: Find a scalar potential, fi, if  F=(3x^2yz^2)i+(x^3z^2)j+(2x^3yz)k, and fi(1,1,1)=1

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Q: Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous…

A: Solution: For l = 1, the allowed m values are 1, 0, -1 and the joint eigenstates are |1,1>,…

Q: Calculate the commutator 2m between the kinetic energy and the position operators for a particle…

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Q: ant seem to

A: Solution: The expectation value of r for the ground state of the hydrogen atom, set up the following…

Q: The scalar triple product of three vectors is a • (b x c). Prove that the scalar triple product will…

A: Let the vectors are a→=a1i^+a2j^+a3k^b→=b1i^+b2j^+b3k^c→=c1i^+c2j^+c3k^ Then b→×c→ will be…