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किसी प्रत्यास्थ पदार्थ का यंग गुणांक तथा आयतन गुणांक क्रमशः 7 × 1010 पास्कल तथा 11 × 1010 पास्कल हैं तो पदार्थ का प्वासों अनुपात बराबर होगा

(A) 0.12

(B) 0.31

(C) 0.24

(D) 0.39

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सही विकल्प है (D) 0.39

यंग गुणांक, आयतन गुणांक और प्वासों अनुपात के बीच संबंध है

\(Y = 3K(1 - 2\sigma)\)

जहाँ

Y = यंग गुणांक

K = आयतन गुणांक

σ = प्वासों अनुपात

दिया है,

\(Y = 7.25 \times 10\ Nm^{-2}\) and \(K = 11 \times 10^{10}\ Nm^{-2}\)

तब,

\(Y = 3K(1 - 2\sigma)\)

\(7.25 \times 10^{10}= 3\times 11\times 10^{10}(1 - 2\sigma)\)

\(1 - 2\sigma = \frac{7.25}{3 \times 11} \)

\(1 - 2\sigma =0.22\)

\(2\sigma = 1 - 0.22\)

\(2\sigma = 0.78\)

\(\sigma =\frac{ 0.78}2 = 0.39\)

पदार्थ का प्वासों अनुपात 0.39 है।

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