Difficulty: Medium
Correct Answer: About ten times their original dimensions
Explanation:
Introduction / Context:
Elastomers are a special class of polymeric materials known for their remarkable elasticity. Everyday examples include rubber bands, tyres, and many flexible seals and gaskets. A key property of elastomers is that they can be stretched significantly and still return to their original shape when the force is removed. This question asks you to recall approximately how many times an elastomer such as natural rubber can be stretched relative to its original length under ideal conditions before permanent deformation occurs.
Given Data / Assumptions:
Concept / Approach:
Elastomers have a coiled polymer chain structure that can uncoil under tension and then recoil when the tension is removed. This gives them high elastic elongation at break compared with other materials. Standard teaching examples often mention that elastomers can be stretched to several times their original length, and many sources state that some elastomers can extend up to around ten times their original dimensions and still recover. The correct approach is to choose the option that reflects this widely cited upper limit for elongation of high quality elastomeric materials.
Step-by-Step Solution:
Step 1: Recall that ordinary engineering materials such as metals may only elongate by a small fraction of their original length before yielding, often less than 50 percent.
Step 2: Remember that elastomers are different because their long polymer chains are loosely cross linked and can uncoil dramatically, allowing very large strains.
Step 3: Recognise that many educational descriptions of elastomers state that they can be stretched to several hundred percent of their original length and still recover shape.
Step 4: Translate several hundred percent elongation into a simple multiple. For example, 900 percent elongation means the material reaches ten times its original length.
Step 5: Compare the answer choices and identify about ten times their original dimensions as the option that matches this typical textbook description.
Step 6: Conclude that the best approximation among the given choices is that elastomers can extend up to about ten times their original length.
Verification / Alternative check:
Polymer science references often report elongation at break values for elastomers ranging from several hundred percent to over one thousand percent, depending on the specific material and conditions. For instance, natural rubber can show elongation at break of around 600 to 800 percent or more. While not every elastomer will always reach exactly ten times its original length in every situation, the statement that elastomers can extend up to about ten times their original dimensions captures the high elastic potential of these materials and is commonly used as an illustrative figure. This supports selecting the largest multiple among the options as the correct answer.
Why Other Options Are Wrong:
About seven times their original dimensions still represents high elasticity, but it does not reflect the upper bound often cited in teaching examples, which usually emphasise the possibility of stretching up to around ten times, so this option is less accurate.
About five times their original dimensions takes into account significant stretch, but understates the typical maximum elongation of many elastomers and therefore is not the best answer among the choices.
About three times their original dimensions reflects good elasticity but is closer to what might be expected from some flexible plastics rather than optimally cross linked elastomers, so it does not highlight the extraordinary stretchability of true elastomeric materials.
Common Pitfalls:
Students sometimes underestimate how far elastomers can stretch because they think in terms of the behaviour of brittle or rigid materials like glass or metal. Others may simply choose a middle value such as five or seven times because it feels safer or more realistic. A further pitfall is to confuse practical everyday use, where materials are not stretched to their limits, with theoretical or laboratory limits. To avoid these errors, remember that elastomers are defined by their ability to undergo extremely large elastic deformations, and values around ten times their original length are often cited to illustrate this property.
Final Answer:
Elastomeric materials such as natural rubber can typically be stretched up to about ten times their original dimensions under ideal conditions and still return to shape.
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