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1m দীর্ঘ একটি তারে 105 Nm-2 বল প্রয়োগে এর দৈর্ঘ্য বৃদ্ধি পেল 0.001m  তারটির ইয়ং এর গুণাঙ্ক কত ?

A.

10-7 Nm-2

B.

10-3 Nm-2

C.

107 Nm-2

D.

108 Nm-2

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সঠিক উত্তরঃ D.

108 Nm-2

Explanation:

Another Explanation (5): bài toán đã cho như sau: Dây dẫn dài \( l = 1m \)📏 Áp suất \( \sigma = 10^5 Nm^{-2} \) 💪 Độ dài tăng \( \Delta l = 0.001m \) 📈 Ta cần tính Young's Modulus \( Y \) 🤔 Công thức Young's Modulus là: \( Y = \frac{\sigma}{\epsilon} \) Trong đó, \( \sigma \) là áp suất và \( \epsilon \) là độ biến dạng (strain). 🤓 Độ biến dạng được tính như sau: \( \epsilon = \frac{\Delta l}{l} \) 📏 \( \epsilon = \frac{0.001}{1} = 0.001 \) ➗ Bây giờ, ta tính Young's Modulus: \( Y = \frac{10^5}{0.001} \) ➗ \( Y = 10^5 \times 10^3 \) ✖️ \( Y = 10^8 Nm^{-2} \) 🎉 Vậy, Young's Modulus của dây là \( 10^8 Nm^{-2} \) ✨