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Assertion: Ratio of stress and strain is...

Assertion: Ratio of stress and strain is always constant for a substance.
Reason : This ratio is called modulus of elasticity .

A

(a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

(b) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

(c) If Assertion is true, but the Reason is false.

D

(d) If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the ratio of stress to strain is always constant for a substance. - **Analysis**: This statement is not true for all conditions. The ratio of stress to strain (stress/strain) is constant only within the elastic limit of a material. Beyond this limit, the material may undergo plastic deformation, and the ratio will no longer remain constant. 2. **Understanding the Reason**: - The reason states that this ratio is called the modulus of elasticity. - **Analysis**: The modulus of elasticity (also known as Young's modulus for tensile stress) is defined as the ratio of stress to strain within the elastic limit. Therefore, this statement is correct. 3. **Conclusion**: - Since the assertion is incorrect (the ratio is not always constant), but the reason is correct (the ratio is called modulus of elasticity), we conclude that the assertion is false while the reason is true. ### Final Answer: - The assertion is false, and the reason is true. Therefore, the correct answer is that the assertion is incorrect, and the reason is correct.

To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the ratio of stress to strain is always constant for a substance. - **Analysis**: This statement is not true for all conditions. The ratio of stress to strain (stress/strain) is constant only within the elastic limit of a material. Beyond this limit, the material may undergo plastic deformation, and the ratio will no longer remain constant. ...
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DC PANDEY ENGLISH-ELASTICITY-Assertion And Reason
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  7. Assertion : identical springs of steel and copper are equally stretche...

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  8. Assertion Young's modulus of elasticity is not defined for liquids. ...

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  9. Assertion Stress and modulus of elasticity have the same dimensions ...

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  10. Assertion Modulus of elasticity does not depend upon the dimensions of...

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  11. Assertion Upto the elastic limit, strain prop stress. Reason Upto el...

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  12. Assertion Incompressible liquids have finite value of bulk modulus of ...

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  13. Assertion If length of a wire is halved, its Young's modulus of elasti...

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  14. Assertion If a wire is stretched, only half of the work done in stretc...

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  15. Assertion The materials having low value of Young's modulus of elastic...

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  16. Assertion Bulk modulus of elasticity of gases is pressure dependent. ...

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  17. Assertion : Bulk modulus of an incompressible liquid is infinite. Re...

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  18. Assertion Upto elastic limit of a stress-strain curve, the steel wire ...

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  19. Assertion A diabatic bulk modulus of an ideal gas in more than its iso...

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  20. Assertion If radius of cylinderical wire is doubled, then this wire ca...

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