సాంద్రత 5000 కేజి/మీ3 మరియు 10.8 N బరువు కలిగిన లోహ  వస్తువు యొక్క ఘనపరిమాణంను (సెం3 లో) కనుగొనండి. ? (g = 10మీ/సె2 ఉపయోగించండి)

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RRB ALP Fitter 21 Jan 2019 Official Paper (Shift 2)
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  1. 216
  2. 21.6
  3. 54
  4. 540

Answer (Detailed Solution Below)

Option 1 : 216
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భావన :

బరువు:

  • ఇది గురుత్వాకర్షణ శక్తి వస్తువుని భూమి కేంద్రం వైపుకు  ఆకర్షిస్తుంది.
  • దీని ప్రమాణం న్యూటన్ (N).

\(W=mg\)

ఇక్కడ, W = వస్తువు యొక్క బరువు, m = వస్తువు ద్రవ్యరాశి, g = గురుత్వ త్వరణం.

సాంద్రత:

  • ఇది ఒక వస్తువు యొక్క ద్రవ్యరాశి దాని ఘనపరిమాణానికి నిష్పత్తిగా నిర్వచించబడింది.
  • దీని ప్రమాణం కేజీ/మీ3 .

\(\rho=\frac{m}{v}\)

ఇక్కడ, \(\rho\) = సాంద్రత, m = ద్రవ్యరాశి, v = ఘనపరిమాణం

గణన :

ఇచ్చిన దత్తాంశం:

లోహ సాంద్రత, ρ = 5000 కేజీ/మీ3

బరువు, W = 10.8 N

g = 10 మీ/సె2

ఇప్పుడు, బరువు (W) = mg

ఇక్కడ, m అనేది లోహ ద్రవ్యరాశి

\(m=\frac{W}{g}=\frac{10.8}{10}\) = 1.08 కిలోలు

అప్పుడు, \(ρ = \frac{mass}{volume}\)

\(volume=\frac{m}{ρ}=\frac{1.08}{5000}\)

ఘనపరిమాణం (v) = 0.000216 మీ3 = 216 సెం.మీ3

కాబట్టి, ఎంపిక (1) సరైన సమాధానం.

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