1.

If the length and breadth of a thin rectangular sheet are measured, usinga metre scale as 16.2 cm and 10.1 cm respectively. What is the area of the rectangular sheet.

Answer»

Solution :There are three significant figures in each measure ment. It means that the length I may be written as
`l= 16.2 pm 0.1 CM = 16.2 cm pm 0.6 % `
Similarly, the BREADTH b may be written as `b=10.2pm 0.1 cm = 10.1 cmpm1% `
Then, the error of the PRODUCT of two (or more) ex- perimental values, using the combination of errors rule, will be
`lb= 163.62 cm^(2)pm 1.6 %`
`- 163.62 pm 2.6 cm^(2)`
This leads use to quote the final result as
`lb= 164 pm 3 cm^(2)`
Here 3 `cm^(2)`is the UNCERTAINTY or error in the estima- tion of area of rectangular sheet.


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