The length, breadth and thickness of a block are given by l=12 ~cm, b=6 ~cm and t=2.45 ~cm . The volume of the block according to the idea of significant figures should be

Correct answer: B. 2 × 10^2 ~cm^3 Using the relation for volume V= length × breadth × thickness aligned & =12 × 6 × 2.45=176.4 & =1.764 × 10^2 ~cm^3 aligned The minimum number of significant figures is 1 in breadth, hence the volume will contain only one significant figure. Therefore, V=2 × 10^2 ~cm^3

JIPMER 2005

Exam: JIPMER
Year: 2005
Subject: Physics
Chapter: Mathematics in Physics

JIPMER 2005 · Physics · Mathematics in Physics

The length, breadth and thickness of a block are given by l=12 ~cm,...

The length, breadth and thickness of a block are given by

l=12 \mathrm{~cm}, b=6 \mathrm{~cm}

and

t=2.45 \mathrm{~cm}

. The volume of the block according to the idea of significant figures should be

Options

A $1 \times 10^2 \mathrm{~cm}^3$
B $2 \times 10^2 \mathrm{~cm}^3$
C $1.763 \times 10^2 \mathrm{~cm}^3$
DNone of the above

Correct answer

B. $2 \times 10^2 \mathrm{~cm}^3$

Step-by-step solution

Using the relation for volume

V=

length

\times

breadth

\times

thickness

\begin{aligned} & =12 \times 6 \times 2.45=176.4 \\ & =1.764 \times 10^2 \mathrm{~cm}^3\end{aligned}

The minimum number of significant figures is 1 in breadth, hence the volume will contain only one significant figure. Therefore,

V=2 \times 10^2 \mathrm{~cm}^3

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