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Two objects A and B are of lengths 5 cm ...

Two objects A and B are of lengths 5 cm and 7 cm determined with errors 0.1 cm and 0.2 cm respectively. What is the error in determining the total length?

A

`(12pm0.3)cm`

B

12 cm

C

`(2pm0.3) cm`

D

`(2pm0.6)cm`

Text Solution

Verified by Experts

The correct Answer is:
A
`a=5cm, Deltaa=0.1cm`
`b=7cm, Deltab=0.2cm`
If `x=a+b` is the total length, then
`Deltax=Deltaa=Deltab=0.1+0.2=0.3cm`
and `x=(5+7)pm0.3=(12pm0.3)cm`
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