The mass of a box measured by a grocer's balance is 2.3 ~kg . Two gold pieces of masses 20.15 ~g and 20.17 ~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?

Correct answer: (B) 2.3 ~kg, 0.02 ~g. Total mass = 2.3 ~kg+0.02015 ~kg +0.02017 ~kg = 2.34032 ~kg=2.3 ~kg Difference of mass of the gold pieces =20.17 ~g-20.15 ~g=0.02 ~g

Q129 / 180 · AIIMS 2018 (26 May) · Physics

The mass of a box measured by a grocer's balance is $2.3 \mathrm{~kg}$. Two gold pieces of masses $20.15 \mathrm{~g}$ and $20.17 \mathrm{~g}$ 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?

A
$2.34 \mathrm{~kg}, 0 \mathrm{~g}$
Correct answer
B
$2.3 \mathrm{~kg}, 0.02 \mathrm{~g}$
C
$2.34 \mathrm{~kg}, 0.02 \mathrm{~g}$
D
$2.3 \mathrm{~kg}, 0 \mathrm{~g}$

Solution

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

Hence, the correct answer is option: 'B'.

The mass of a box measured by a grocer's balance is $2.3 \mathrm{~kg}$. Two gold pieces of masses $20.15 \mathrm{~g}$ and $20.17 \mathrm{~g}$ 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?

Solution

More Mathematics in Physics Questions