the electric potential of a hydrogen atom is modeled by the equation where a0 is the bohr radius of the atom and q is the charge of the proton. the electric field due to the hydrogen atom is assumed to be spherically symmetric (a) calculate the θ (theta) component of the electric field (6 pts) (b) calculate the ɸ (phi) component of the electric field (6 pts) (c) calculate the r (radial) component of the electric field (6 pts) (d) what is the change in the magnitude of the electric field if a test point moves from the position (7 pts) to the position problem 7 (25 pts) v (r)

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12-10-2022
Physics

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the electric potential of a hydrogen atom is modeled by the equation where a0 is the bohr radius of the atom and q is the charge of the proton. the electric field due to the hydrogen atom is assumed to be spherically symmetric (a) calculate the θ (theta) component of the electric field (6 pts) (b) calculate the ɸ (phi) component of the electric field (6 pts) (c) calculate the r (radial) component of the electric field (6 pts) (d) what is the change in the magnitude of the electric field if a test point moves from the position (7 pts) to the position problem 7 (25 pts) v (r)

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charithran8975 charithran8975 · Answer 1 · 2022-10-15T02:45:19-04:00

In light of this, V=V 0 loge (r/r 0 ) Field E= dr dV =V 0(r0r) eE= r mV2 alternatively, reV0r0=rmV2. V=(m eV 0 r 0 ) \ s1 / 2mV=(m e V 0 r 0 ) 1/2 = constant mvr= 2 nh, also known as Bohr's quantum condition or Hermitian matrix.

Show that the eigenfunctions for the Hermitian matrix in review exercise 3a can be normalized and that they are orthogonal.

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Under the given Hermitian matrix, "border conditions," solve the following second order linear differential equation: d2x/ dt2 + k2x(t) = 0 where x(t=0) = L and dx(t=0)/ dt = 0.

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