12 kg द्रव्यमान की एक वस्तु जमीन से एक निश्चित ऊंचाई पर है। यदि वस्तु की स्थितिज ऊर्जा 600 J है, तो जमीन के सापेक्ष वस्तु की ऊंचाई ज्ञात कीजिए। (दिया गया है g = 10 ms-2)

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RRC Group D Previous Paper 12 (Held On: 4 Oct 2018 Shift 1)
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  1. 5 m
  2. 5 ms-2
  3. 5 ms2
  4. -5 m

Answer (Detailed Solution Below)

Option 1 : 5 m
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Detailed Solution

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संकल्पना:

  • स्थितिज ऊर्जा (PE): एक निकाय द्वारा अपनी स्थिति या विन्यास के आधार पर प्राप्त की गयी ऊर्जा को स्थितिज ऊर्जा कहा जाता है।

\(PE = mgh\)

जहां, m = निकाय का द्रव्यमान, g = गुरुत्वाकर्षण के कारण त्वरण और h = निकाय की ऊंचाई

गणना:

दिया हुआ है कि

द्रव्यमान = 12 kg

स्थितिज ऊर्जा (PE) = 600 J

गुरुत्वाकर्षण के कारण त्वरण (g) = 10 m/s-2

ऊँचाई = ?

हम जानते हैं कि, स्थितिज ऊर्जा = mgh

h = स्थितिज ऊर्जा/mg = 600/[12 × 10] = 5 m

इसलिए, ऊंचाई (h) = 5 m। तो विकल्प 1 सही है।

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