KCET · Physics · Mechanical Properties of Solids

A wire is stretched such that its volume remains constant. The Poission's ratio of the material
of the wire is

A \( 0.25 \)
B \( 0.50 \)
C \( -0.25 \)
D \( -0.50 \)

Verified Solution

Answer & Solution

Correct Answer

(B) \( 0.50 \)

Step-by-step Solution

Detailed explanation

Poisson's ratio of a stable, isotropic, linear elastic material lies in the range \(-1 < \sigma < 0.5\), theoretically.
For most of the materials \(\sigma < 0.5 .\) This is because, moduli of elasticity should have positive values.
Negative Poisson's ratio in DESIGNED materials and in some anisotropic materials has been observed.
\(\therefore\) For most of the materials \(\sigma < 0.5 .\)
\(\therefore\) option (B) is correct.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From KCET

Explore more questions on app

A wire is stretched such that its volume remains constant. The Poission's ratio of the materialof the wire is

Step-by-step Solution

A wire is stretched such that its volume remains constant. The Poission's ratio of the material
of the wire is