Read the assertion and reason carefully to mark the correct option ou...
Work done = 1/2 × Stress × Strain = 1/2 × Y × (Strain)2 Since, elasticity of steel is more than copper, hence more work has to be done in order to stretch the steel.
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Read the assertion and reason carefully to mark the correct option ou...
Understanding the Assertion and Reason
The assertion and reason presented in the question revolve around the properties of materials, specifically steel and copper, when they are subjected to the same stretching force.
Assertion Explained
- Identical springs made of steel and copper, when equally stretched, indicate that they are experiencing the same amount of deformation.
- However, more work is done on the steel spring compared to the copper spring.
Reason Explained
- The reason states that steel is more elastic than copper. Elasticity refers to the ability of a material to return to its original shape after deformation.
- Since steel has a higher modulus of elasticity than copper, it can store more energy when stretched.
Link Between Assertion and Reason
- The assertion is true because, under the same stretching force, the steel spring demonstrates a greater capacity to absorb and store energy due to its superior elasticity.
- The reason is also true because it accurately describes the elastic properties of the materials in question.
Conclusion
- Both the assertion and the reason are true, and the reason directly explains why more work is done on the steel spring compared to the copper spring.
- Thus, the correct answer is option 'A': both assertion and reason are true, and the reason is the correct explanation of the assertion.
This understanding emphasizes the importance of material properties in mechanics, illustrating how elasticity affects energy storage in springs.
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