Physics Elasticity Question 151

Question: If the interatomic spacing in a steel wire is 3.0Å and $ Y _{steel} $ = $ 20\times 10^{10}N/m^{2} $ then force constant is

[RPET 2001]

Options:

A) $ 6\times {{10}^{-2}},N/{\AA} $

B)$ 6\times {{10}^{-9}}N/{\AA} $

C) $ 4\times {{10}^{-5}},N/{\AA} $

D)$ 6\times {{10}^{-5}}N/{\AA} $

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Answer:

Correct Answer: B

Solution:

$ K=Yr _{0}=20\times 10^{10}\times 3\times {{10}^{-10}}=60\ N/m $

$ =6\times {{10}^{-9}}N/{\AA} $