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Assertion (A): a material is incompressible if its poissions ratio is 0.5 Reason(R): the bulk modulus K is related to modulus of elasticity E and to poissons ratio as per well known relationship. a)Both A and R are true and R is the correct explanation of A b)Both A and R are true and R is not the correct explanation of A Correct Answer c)A is true but R is false d)A is false but R is true?
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Assertion (A): a material is incompressible if its poissions ratio is ...
Assertion and Reasoning
Assertion (A): A material is incompressible if its Poisson's ratio is 0.5.
Reason (R): The bulk modulus K is related to modulus of elasticity E and to Poisson's ratio as per a well-known relationship.

Evaluation of Assertion and Reasoning
- Assertion (A) Evaluation:
- The assertion is true. A material is considered incompressible when its Poisson's ratio is exactly 0.5. This is because an incompressible material cannot change its volume when subjected to external forces, which corresponds to a Poisson's ratio of 0.5.
- Reason (R) Evaluation:
- The reason is also true. The bulk modulus K is indeed related to the modulus of elasticity E and Poisson's ratio. The relationship is given by K = E / (3(1-2ν)), where ν represents the Poisson's ratio. This equation shows the direct relationship between the bulk modulus, modulus of elasticity, and Poisson's ratio.
Therefore, both the assertion and reasoning are true, and the reasoning provides the correct explanation for the assertion. Hence, the correct answer is:
a) Both A and R are true and R is the correct explanation of A.
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Assertion (A): a material is incompressible if its poissions ratio is 0.5 Reason(R): the bulk modulus K is related to modulus of elasticity E and to poissons ratio as per well known relationship. a)Both A and R are true and R is the correct explanation of A b)Both A and R are true and R is not the correct explanation of A Correct Answer c)A is true but R is false d)A is false but R is true?
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Assertion (A): a material is incompressible if its poissions ratio is 0.5 Reason(R): the bulk modulus K is related to modulus of elasticity E and to poissons ratio as per well known relationship. a)Both A and R are true and R is the correct explanation of A b)Both A and R are true and R is not the correct explanation of A Correct Answer c)A is true but R is false d)A is false but R is true? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Assertion (A): a material is incompressible if its poissions ratio is 0.5 Reason(R): the bulk modulus K is related to modulus of elasticity E and to poissons ratio as per well known relationship. a)Both A and R are true and R is the correct explanation of A b)Both A and R are true and R is not the correct explanation of A Correct Answer c)A is true but R is false d)A is false but R is true? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): a material is incompressible if its poissions ratio is 0.5 Reason(R): the bulk modulus K is related to modulus of elasticity E and to poissons ratio as per well known relationship. a)Both A and R are true and R is the correct explanation of A b)Both A and R are true and R is not the correct explanation of A Correct Answer c)A is true but R is false d)A is false but R is true?.
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