Home
Class 11
PHYSICS
If the length and breadth of a thin rect...

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

Text Solution

Verified by Experts

There are three significant figures in each measurement. It means that the length l may be written as `l= 16.2 +- 0.1cm= 16.2 cm +- 0.6%` Similarly, the breadth b may be written as `b= 10.2 +- 0.1cm= 10.1 cm +- 1%`
Then, the error of the product of two (or more) experimental values, using the combination of errors rule, will be
`lb= 163.62 cm^(2) +- 1.6% - 163.62 +- 2.6cm^(2)`
This leads use to quote the final result as `lb= 164 +- 3 cm^(2)`
Here `3cm^(2)` is the uncertainty or error in the estimation of area of rectangular sheet.
Promotional Banner

Similar Questions

Explore conceptually related problems

The length and breadth of a rectangular plate are measured to be 14.5 cm and 4.2cm respectively. Find its area to appropriate significant figures.

The length and breadth of a table are (125+-0.4)cm and (75+-0.5)cm respectively. What is the area of the table?

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

A vernier callipers is used to measure the width and the length of a rectangular plate. The measured values are 1.38 cm and 4.02 cm respectively.Find the uncertainly in the value of its area.

The breadth of a thin rectangular sheet is measured as 10.1 cm. The approximate error in the measurement is

The length, breadth the thickness of rectangular sheet of wood are 3.230 m, 1.49 m and 1.99 cm respectively. Give the total surface area and volume of the sheet correct to the significant figures.

The length and breadth of a rectangular object are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the relative error and percentage error in the area of the object.

The length , breadth , and thickness of a block are measured as 125.5 cm , 5.0 cm , and 0.32 cm , respectively .Which one of the measurement is most accurate?