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AIIMS 201826 May
Exam
AIIMS
Year
2018
Date
26 May
Subject
Physics
Chapter
Mathematics in Physics

AIIMS 2018 · 26 May · Physics · Mathematics in Physics

The mass of a box measured by a grocer's balance is 2.3 ~kg . Two...

The mass of a box measured by a grocer's balance is 2.3 kg2.3 \mathrm{~kg}. Two gold pieces of masses 20.15 g20.15 \mathrm{~g} and 20.17 g20.17 \mathrm{~g} are added to the box. What is the total mass of the box and the difference in the masses of the pieces to correct significant figures?

Options

  1. A2.34 kg,0 g2.34 \mathrm{~kg}, 0 \mathrm{~g}
  2. B2.3 kg,0.02 g2.3 \mathrm{~kg}, 0.02 \mathrm{~g}
  3. C2.34 kg,0.02 g2.34 \mathrm{~kg}, 0.02 \mathrm{~g}
  4. D2.3 kg,0 g2.3 \mathrm{~kg}, 0 \mathrm{~g}

Correct answer

B. 2.3 kg,0.02 g2.3 \mathrm{~kg}, 0.02 \mathrm{~g}

Step-by-step solution

 Total mass =2.3kg+0.02015kg+0.02017kg=2.34032kg=2.3kg\begin{aligned} \text{ Total mass }= & 2.3 \mathrm{ kg}+0.02015 \mathrm{ kg} \\ & +0.02017 \mathrm{ kg} \\ = & 2.34032 \mathrm{ kg}=2.3 \mathrm{ kg}\end{aligned} Difference of mass of the gold pieces =20.17g−20.15g=0.02g=20.17 \mathrm{ g}-20.15 \mathrm{ g}=0.02 \mathrm{ g}
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