Question # The length and breadth of a rectangular sheet are ( 16.2 mathrm{cm} ) and ( 10.1 mathrm{cm} ) respectively. The area of the sheet in appropriate significant figures and error is

# The length and breadth of a rectangular sheet are ( 16.2 mathrm{cm} ) and ( 10.1 mathrm{cm} ) respectively. The area of the sheet in appropriate significant figures and error is

(a) ( 164 pm 3 mathrm{cm}^{2} )

(b) ( 163.62 pm 2.6 mathrm{cm}^{2} )

(c) ( 163.6 pm 2.6 mathrm{cm}^{2} )

(d) ( 163.62 pm 3 mathrm{cm}^{2} )

Solution

length: ( 16.2 mathrm{cm} )

Breadsh ( =10 cdot 10 mathrm{m} )

3 signitioni

3 significand

So, Area will have 3 significant

[

begin{array}{l}

=16.2 times 10^{-1}

=163.62 Rightarrow 5 text { sugnifican }

end{array}

]

( =164 ) (round of to 3 significant

Ans (a) only

(a) has ( 164 pm ) error