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Chapter 7: Problem 947

What is the possible value of posson's ratio? (A) 1 (B) \(0.9\) (C) \(0.8\) (D) \(0.4\)

Short Answer

Expert verified
The possible value of Poisson's ratio is (D) \(0.4\).

Step by step solution

01

Range of Poisson's ratio

According to definition, the Poisson's ratio value (\( \nu \)) lies between -1 and 0.5: \[ -1 \leq \nu \leq 0.5 \]
02

Compare the given options

Compare each of the four given options to the range of Poisson's ratio. Option (A) \(1\): It doesn't fall within the range, so option (A) is not a possible value. Option (B) \(0.9\): It doesn't fall within the range, so option (B) is not a possible value. Option (C) \(0.8\): It doesn't fall within the range, so option (C) is not a possible value. Option (D) \(0.4\): It falls within the range (-1 to 0.5), so option (D) is a possible value for Poisson's ratio. Therefore, the correct option is (D) \(0.4\).

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