Statement I: If both in-plane lengths of an isotropic plate increase by exactly 2\%, its area increases by 4.04\%.
Statement II: The first-order area expansion estimate for the same linear change is 4%.

Question

Statement I: If both in-plane lengths of an isotropic plate increase by exactly 2\%, its area increases by 4.04\%.

Statement II: The first-order area expansion estimate for the same linear change is 4%.

TestHub · Accepted Answer

Exact ratio is A A ′ ​ = ( 1.02 ) 2 = 1.0404 , a 4.04% rise. Dropping the quadratic term gives 2 (2\%) = 4\%. Both statements are true.

Physics - Heat & Thermo Question with Solution | TestHub