a. Suppose that F is an inverse square force field, that is, F (r) = cr for some constant c, where r = x i+yj+zk. Find the work done by F in moving an object from a point P along a path to a point P2 in terms of the distances di and d2 from these points to the origin.

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A: Given data V=x2yz+3x2y

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Q: Find a potential function f for the field F (x, y, z) = 2xî+ 3yî+ 4zk.

A: Given: Field, F→(x,y,z)=2x i^+3y j^ +4z k^

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A: Given F(x,y)= (5y-x2)i +(5x+y)therefore , for the force to be conservative , curlF = 0 .

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A: We will only answer the first question since the exact question to be answered was not specified.…

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Q: a) What is the general expression of force resulting from the L-J potential? b) At what value of…

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A: Given, F=2xy+z3i→+x2j→+3yz2k→∇×F=i^j^k^∂ ∂x∂ ∂y∂ ∂z2xy+z3x23yz2Solving we get=∂ ∂y3yz2-∂ ∂zx2i^-∂…

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Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.