100 m2 अनुप्रस्थ काट क्षेत्रफल वाले एक सड़क तटबंध का निर्माण 200 मीटर से 250 मीटर तक के समोच्च रेखा के साथ 1 में 50 के औसत ढलान के साथ किया जाता है। मिट्टी के कार्य का आयतन ज्ञात कीजिए।

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  1. 250000 m3
  2. 5000 m3
  3. 22500 m3
  4. 1250000 m3

Answer (Detailed Solution Below)

Option 1 : 250000 m3
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व्याख्या:

दिया गया डेटा:

तटबंध का अनुप्रस्थ काट क्षेत्रफल, A= 100 m2

सड़क का औसत ढलान (m) = 1 में 50

समोच्च ऊँचाई में अंतर, \(h = 250 - 200 = 50 \, \text{m} \)

क्षैतिज दूरी (L) की गणना:

\(L = \frac{h}{m} = \frac{50}{\frac{1}{50}} = 2500 \, \text{m} \)

मिट्टी के कार्य के आयतन (V) की गणना:

V= अनुप्रस्थ काट क्षेत्रफल x क्षैतिज लंबाई

\(\\ V = 100 \, \text{m}^2 \times 2500 \, \text{m} = 250000 \, \text{m}^3 \)

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