A train running at the speed of 60 km/hr crosses a pole in 9 seconds, what is the length of the train?
A. 120 metres
B. 180 metres
C. 324 metres
D. 150 metres
সঠিক উত্তরঃ
D.
150 metres
Explanation:
Another Explanation (5): ```html
ট্রেনের দৈর্ঘ্য নির্ণয়: ব্যাখ্যা 🚂
একটি ট্রেন 60 কিমি/ঘণ্টা বেগে একটি খুঁটি অতিক্রম করে 9 সেকেন্ডে। ট্রেনের দৈর্ঘ্য কত?
সমাধানের ধাপ 🪜
-
গতিবেগকে মিটার/সেকেন্ডে রূপান্তর: কিলোমিটার/ঘণ্টাকে মিটার/সেকেন্ডে পরিবর্তন করতে, 5/18 দিয়ে গুণ করতে হয়।
সুতরাং, ট্রেনের গতিবেগ = 60 * (5/18) = 50/3 মিটার/সেকেন্ড। ⏱️ -
দূরত্ব নির্ণয়: যেহেতু ট্রেনটি একটি খুঁটি অতিক্রম করে, তাই অতিক্রান্ত দূরত্ব হলো ট্রেনের নিজের দৈর্ঘ্য।
আমরা জানি, দূরত্ব = গতিবেগ * সময়। 📏 - দৈর্ঘ্য গণনা: ট্রেনের দৈর্ঘ্য = (50/3) * 9 = 150 মিটার। 💯
ফলাফল 🎉
অতএব, ট্রেনের দৈর্ঘ্য 150 মিটার।
সূত্র 📝
- গতিবেগ (কিমি/ঘণ্টা) * (5/18) = গতিবেগ (মিটার/সেকেন্ড)
- দূরত্ব = গতিবেগ * সময়
উদাহরণ 📊
| বিষয় | মান |
|---|---|
| ট্রেনের গতিবেগ | 60 কিমি/ঘণ্টা ➡️ 50/3 মিটার/সেকেন্ড |
| সময় | 9 সেকেন্ড |
| ট্রেনের দৈর্ঘ্য | 150 মিটার |
আশা করি, এটি আপনাকে সাহায্য করবে! 👍
ধন্যবাদ! 🙏
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