AP EAMCET · PHYSICS · Mechanical Properties of Solids

For a material, the ratio of Young's modulus to rigidity modulus is 2.8 . If some force is applied on a wire made of this material, its cross-sectional area decreases by $2 \%$. The percentage change in its length is

A 0.4
B 1.6
C 2.5
D 4

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Answer & Solution

Correct Answer

(C) 2.5

Step-by-step Solution

Detailed explanation

No solution. Refer to answer key.

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

Match the following:

	Column $- I$		Column $- II$
(a)	Transverse wave through a steel rod	(i)	$\sqrt{B + (\frac{4}{3}) \frac{η}{ρ}}$
(b)	Longitudinal waves in earth's crust	(ii)	$\sqrt{\frac{η}{ρ}}$
(c)	Longitudinal waves through a steel rod	(iii)	$\sqrt{\frac{2 π T}{g λ}}$
(d)	Ripples	(iv)	$\sqrt{\frac{λ}{ρ}}$

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For a material, the ratio of Young's modulus to rigidity modulus is 2.8 . If some force is applied on a wire made of this material, its cross-sectional area decreases by \(2 \%\). The percentage change in its length is

Answer & Solution

Step-by-step Solution

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