किसी विशेष सामग्री में, यदि दृढ़ता का मापांक, आयतन मापांक के बराबर है तो प्वासों अनुपात होगा

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  1. 1
  2. \(\frac{1}{2}\)
  3. \(\frac{1}{4}\)
  4. \(\frac{1}{8}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{8}\)
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संकल्पना:

हम जानते हैं कि,

E, K और ν के बीच संबंध

E = 2G (1 + μ )  -- (1)

E = 3K (1 - 2μ)  --- (2)

जहाँ, आयतन मापांक (K), यंग मापांक (E), और पॉइसन अनुपात (μ) 

G - दृढ़ता मापांक

गणना:

दिया गया है, K = G

(1) और (2) से

2G (1 + μ ) = 3K (1 - 2μ)

2G (1 + μ ) = 3G (1 - 2μ) 

 2 + 2μ = 3 - 6μ 

8μ = 1

∴ μ = 1/8

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