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The qunatum number not obtained from the...

The qunatum number not obtained from the Schrodinger's wave equation is

A

n

B

l

C

m

D

s

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The correct Answer is:
D
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The quantum number not obtained from the Schrodinger's wave equation is

The quantum number not obtained from the Schrodinger.s wave equation is

Just as Bohr.s model of atom was developed on the basis of planck.s quantum theory, wave mechanical model of atom has been developed on the basis of quantum mechanics. The herat of quantum mechanism is Schrodinger wave equation which in turn is based on Heisenberg.s uncetainity principle and de broglie concept of dual nature of matter and radiation. Bohr model could explain the main lines of hydrogen or hydrogenic spectra but could not explain their fine structure. To explain this, it was suggested that each level consists of a number of sublevels, it was suggested that each level consists of a number of sublevels, the transitions between which gave rise to closely spaced lines. The numbers representing the main energy level are called Princiapl Quantum Number (n) while those representing sublevels are called Azimuthal Quantum numbers (l) and these determine the angular momentum of the electron. The orbital angular Number (m) which is just like a further split of a sublevel into finer sublevels. Lastly the electron may rotate or spin about its own axis given rise to Spin Quantum number (s) which determines the angular momentum of the electron. The quantum number not obtained from the solution of Schrodinger wave equation is

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The letters n, l and m proposed by Bohr, Sommerfeld and Zeeman respectivelt for quantization of angular momentum in classical physics were later on obtained as the results of solution of Schrodinger wave equation based on quantum mechanics. The term n, l, m are named as principal quantum number, azimuthal quantum number and magnetic number respectively. The fourth quantum number i.e., spin quantum number (s) was given by Uhlenback on the basis of two spins of electrons. The first two quantum number also decides the nodes of an orbital. The numerical value Psi_(4,3,0) denotes