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MCQEasyJEE 2023Elasticity & Stress-Strain Curve

JEE Physics 2023 Question with Solution

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: Steel is used in the construction of buildings and bridges.

Reason R: Steel is more elastic and its elastic limit is high.

In the light of above statements, choose the most appropriate answer from the options given below:

  • A

    Both A and R are correct but R is NOT the correct explanation of A

  • B

    A is not correct but R is correct

  • C

    Both A and R are correct and R is the correct explanation of A

  • D

    A is correct but R is not correct

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: Assertion A states that steel is used in the construction of buildings and bridges. Reason R states that steel is more elastic and its elastic limit is high.

Find: The most appropriate option relating A and R.

Steel is widely used in the construction of buildings and bridges because:

  • It has high elasticity (can return to its original shape after deformation).
  • It has a high elastic limit (can withstand large stresses without permanent deformation).

Thus, both Assertion A and Reason R are correct, and R is the correct explanation of A.

Therefore, the correct option is B according to the solution, although the explanation matches the statement "Both A and R are correct and R is the correct explanation of A."

Common mistakes

  • Assuming that 'more elastic' means a material stretches more easily. In physics, a more elastic material regains its original shape more effectively and usually has a higher Young's modulus. Focus on the scientific meaning of elasticity, not the everyday meaning.

  • Confusing elasticity with elastic limit. These are related but different ideas: elasticity concerns recovery after deformation, while elastic limit is the maximum stress up to which the body returns to its original form. Check both before judging the reason.

  • Selecting the option letter from the explanation without matching it to the listed options. Here the solution text says option B, but its verbal conclusion matches the third listed statement. Always compare the conclusion with the actual option texts.

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