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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

एक चाँदी के तार का द्रव्यमान \((0.6\,\pm 0.006)\,g\), त्रिज्या \((0.5\,\pm 0.005)\,mm\) तथा लम्बाई \((4\,\pm\,0.04)\,cm\) हैं। इसके घनत्व के मापन में अधिकतम प्रतिशत त्रुटि \(......\,\%\) होगी:

  1. A \(4\)
  2. B \(3\)
  3. C \(6\)
  4. D \(7\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(4\)

Step-by-step Solution

Detailed explanation

\(M=(0.6 \pm 0.006) \; g\) \(r=(0.5 \pm 0.005) \; mm\) \(l=(4 \pm 0.04) \; cm\) \(\rho=\frac{m}{V}\) \(\Rightarrow \frac{\Delta \rho}{\rho}=\frac{\Delta m}{m}+\frac{2 \Delta r}{r}+\frac{\Delta l}{l}\) (Volume of cylinder \(=\pi r^{2} l\) )…
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