A simplified model of a silicon atom treats a electron as being

PHYSICS · Multi-part · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A simplified model of a silicon atom treats a 2p2p electron as being, on average, 0.050 nm0.050\,\text{nm} from the nucleus and a 3p3p electron as being 0.15 nm0.15\,\text{nm} from the nucleus. For this model, assume both electrons experience the full nuclear charge of +14+14 and that all other electrons are neglected. (a) Determine the ratio F2pF3p\displaystyle \frac{F_{2p}}{F_{3p}} of the electrostatic attraction on the 2p2p electron to that on the 3p3p electron based solely on their average distances from the nucleus. (b) Real silicon atoms do not strictly obey the assumptions of this model. Describe two specific factors present in an actual atom that would reduce the calculated ratio in part (a).

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