Properties Of Matter Ques 20

  1. A man grows into a giant such that his linear dimensions increase by a factor of 9 . Assuming that his density remains same, the stress in the leg will change by a factor of

(2017 Main)

(a) $\frac{1}{9}$

(b) 81

(c) $\frac{1}{81}$

(d) 9

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Answer:

Correct Answer: 20.( d )

Solution:

  1. Stress $=\frac{\text { Weight }}{\text { Area }}=\frac{9^3 \times W_0}{9^2 \times A_0}=9\left(\frac{W_0}{A_0}\right)$

Hence, the stress increases by a factor of 9 .



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