6 సెం.మీ × 8 సెం.మీ × 5 సెం.మీ, మరియు బరువు 1.92 N. (g = 10 మీ/సెకన్2 ఉపయోగించండి) పరిమాణాల చెక్క ముక్క యొక్క సాంద్రత (కేజీ/మీ3 లో) కనుగొనండి?

This question was previously asked in
RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 2).
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  1. 300
  2. 3,000
  3. 800
  4. 8,000

Answer (Detailed Solution Below)

Option 3 : 800
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Detailed Solution

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భావన:

సాంద్రత:

  • సాంద్రత అనేది పదార్థం ఎంత గట్టిగా కలిసి ప్యాక్ చేయబడిందో కొలవడం.
  • ఇది యూనిట్ ఘనపరిమాణంకు ద్రవ్యరాశిగా నిర్వచించబడింది.

గణితశాస్త్రపరంగా, \(\rho =\frac{Mass}{Volume}\)

గణన:

ఇచ్చినది:

చెక్క కొలతలు = 6 సెం.మీ × 8 సెం.మీ × 5 సెం.మీ, బరువు = 1.92 N, g = 10 మీ/సెకన్2

బరువు = ద్రవ్యరాశి × గురుత్వాకర్షణ

⇒ 1.92 = ద్రవ్యరాశి × 10

\(mass=\frac{1.92}{10}=0.192~kg\)

∵ సాంద్రత, ρ = \(\frac{Mass}{Volume}\)

⇒ ρ = \(\frac{0.192}{0.06~\times~0.08~\times~0.05}\)

ρ = 800 కేజీ/మీ3

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