A wire of length 10 m is subjected to a force of 100 N along its length and hence the lateral strain produced is 0 .01 × 10 - 3 m . The Poisson's ratio was found to be 0 . 4 . If the area of cross-section of wire is 0.025 m 2 , its Young's modulus will be

Question

A wire of length 10 m is subjected to a force of 100 N along its length and hence the lateral strain produced is 0 .01 × 10 - 3 m . The Poisson's ratio was found to be 0 . 4 . If the area of cross-section of wire is 0.025 m 2 , its Young's modulus will be, 1.6 × 10 8 N m - 2, 2.5 × 10 10 N m - 2, 1.25 × 10 11 N m - 2, 16 × 10 9 N m - 2

MARKS App · Accepted Answer

Poisson's ratio = L a t e r a l s t r a i n L o n g i t u d i n a l s t r a i n i e , 0.4 = 0.01 × 10 - 3 l L or L l = 0.4 0.01 × 10 - 3 = 4 × 10 4 Young's modulus Y = F L A l = 100 0.025 × 4 × 10 4 = 1.6 × 10 8 N m - 2

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