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in Quantum Mechanical Model of Atom by (46.8k points)
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Illustrate the significance of de Broglie equation with an iron ball and an electron.

(i) 6.626 kg iron ball moving with 10 ms-1.

(ii) An electron moving at 72.73 ms-1.

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(i) λiron ball = \(\frac{h}{mv}\)

= 1 x 10-35m

(ii)   λiron ball = \(\frac{h}{mv}\)

\(\frac{6.626}{662.6}\) x 10-3

= 1 x 10m

For an electron, the de Broglie wavelength is significant and measurable while for iron ball it is too small to measure, hence it becomes insignificant

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