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Question

Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).
Assertion (A): A rubber band is a solid because it regains its original shape when the stretching force is removed.
Reason (R): Solids are rigid and have negligible compressibility.

The correct answer is
Both A and R are true, but R is not the correct explanation of A.

Understanding Assertion and Reason: Rubber Band Properties

This question requires us to evaluate two statements: Assertion (A) and Reason (R), related to the classification of a rubber band as a solid.

Analyzing Assertion (A): Rubber Band Elasticity

Assertion (A) states: "A rubber band is a solid because it regains its original shape when the stretching force is removed."

  • A rubber band demonstrates elasticity, meaning it can deform under stress (stretching) and return to its original shape once the stress is removed.
  • Materials that possess a definite shape and volume, and resist changes in shape, are characteristic of the solid state.
  • The ability to regain its original shape is a key property that supports classifying an object like a rubber band as a solid, despite its ability to stretch considerably.
  • Therefore, Assertion (A) is considered true.

Analyzing Reason (R): Defining Solid Properties

Reason (R) states: "Solids are rigid and have negligible compressibility."

  • Rigidity is the property of resisting deformation; solids generally maintain their shape unless subjected to forces beyond their structural integrity.
  • Negligible compressibility means that the volume of a solid does not decrease significantly when pressure is applied.
  • These are fundamental, widely accepted defining characteristics of the solid state of matter.
  • Therefore, Reason (R) is also true.

Connecting Assertion (A) and Reason (R)

The next step is to determine if Reason (R) provides the correct explanation for Assertion (A).

  • Assertion (A) uses the specific phenomenon of regaining shape (elasticity) to justify why a rubber band is a solid.
  • Reason (R) describes general, inherent properties of solids – rigidity and low compressibility.
  • While the elasticity observed in the rubber band (mentioned in A) stems from its underlying solid structure, which inherently possesses rigidity and low compressibility (mentioned in R), Reason (R) does not directly explain the *mechanism* of regaining shape itself. It states the fundamental properties of the state.
  • Essentially, the rubber band is a solid *because* it has properties like rigidity and low compressibility (R), and one way it *demonstrates* this solid nature is by regaining its shape after stretching (A). However, R doesn't explain the *specific act* of regaining shape as described in A.
  • Thus, both statements are factually correct, but R serves as a general description of solids rather than a direct explanation for the specific elastic behavior highlighted in A.

Conclusion

Based on this analysis:

  • Assertion (A) is true.
  • Reason (R) is true.
  • Reason (R) is not the correct explanation for Assertion (A).

This leads to the conclusion that both statements are true, but R does not correctly explain A.

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Important Questions from Assertion and Reasons (Notes)

  1. Given below are two arguments.
    (I): A valid deductive argument that also has all true premises is called a sound argument
    (II): A strong inductive argument that has all true premises is called a cogent argument
    In the light of the above statements, choose the most appropriate answer from the options given below
  2. Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R.
    Assertion A A sample survey is usually extensive in scope
    Reason R Therfore, both in the number of cases included and in the manner of their selection, it has to be adequately and faithfully representative of a larger population.
  3. Two statements are given below. One is Assertion (A) and the other is Reason (R). Choose the correct answer from the options given for these statements.
    Assertion (A): Properties of a compound are different from those of its constituent elements.
    Reason (R): Compounds are formed by chemical combination of elements in a fixed ratio.
  4. Which of the following statements are correct?
    (i) Solid $CO_2$ is called dry ice.
    (ii) Solid $CO_2$ changes directly into gas at 1 atm pressure.
    (iii) Pressure and temperature can change the state of matter.
    (iv) Solid $CO_2$ melts into liquid $CO_2$ before becoming gas.
  5. Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).
    Assertion (A): Copper wire in iron sulphate solution shows no visible reaction.
    Reason (R): Copper is less reactive than iron.
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