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Library of Challenge Problems (ChPs): Solids
A number of facts about crystalline solids are stated below. Choose the number of the response that best explains the applicability of this representation, or model, for each fact. [Note: Choose only one response for each fact.]

Graphic: Spheres and Springs

A crystalline solid may be represented as a 3-dimensional array of spheres with each sphere connected to its neighbors by a stiff spring. The spheres are vibrating in various directions.

RESPONSES

  1. The fact is explained by the representation or model shown.
  2. The fact can be explained by modifying the model as follows: the amplitude of vibration of the spheres depends upon the temperature.
  3. The fact can be explained by modifying the model as follows: there are irregularities in the arrangement of spheres.
  4. The fact can be explained by modifying the model as follows: the elasticity of the springs is different for different solids.
  5. The fact cannot be explained on the basis of the representation or model, even by changing it as above.
FACTS
  • Solids contract on cooling.
  • Solids may be compressed slightly.
  • Solids do not diffuse through one another.
  • Solids conduct heat.
  • Some solids are harder than others.
  • The speed of sound through steel is greater than its speed through lead.

Source: Adapted from Handbook on Formative and Summative Evaluation of Student Learning by B. S. Bloom, J. T. Hastings, & G. F. Madaus, McGraw Hill, 1971, p612.

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