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Question

Explain the dual nature of an electron on the basis of de Broglie's theory. State Heisenberg's Uncertainty Principle. How did it contradict Bohr's theory?


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Solution

De Broglie's theory:

De Broglie derives an expression for calculating the wavelength of the wave which is associated with the moving electron.

The expression λ=hmomentumofelectron is called the De Broglie equation.

The dual nature of electrons is particle nature as well as wave nature was established by this equation.

The three-dimensional region in space around the nucleus where the probability of finding an electron was killer energy maximum is called an atomic orbital

On the basis of the Schrodinger Wave Equation, the quantum mechanical model of the atom has been proposed in this model the state of an electron in an atom can be explained with respect to four quantum numbers among these three quantum numbers namely the Principal Quantum Number azimuthal quantum number and a magnetic quantum number have been derived from Schrodinger Wave Equation.

Heisenberg Uncertainty Principle:

According to Heisenberg's Uncertainty Principle, it is impossible to determine simultaneously and accurately the exact position and the momentum of the moving particle.

Bohr's theory suggests that an electron revolves in fix circular path so it is contradictory to Heisenberg's Uncertainty Principle


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