What is the percentage uncertainty in V when L1-L2 is 30?

AI Thread Summary
The discussion revolves around calculating the percentage uncertainty in the variable V, defined as V = (1/(L1-L2))^0.5, given that L1-L2 equals 30 with uncertainties of +/- 0.1 for both lengths. The method involves adding the uncertainties to get +/- 0.2, then calculating the percentage uncertainty as (0.2/30) * 100%, and adjusting for the square root by multiplying by 0.5. Participants confirm that this approach is correct, although one raises a question about the representation of the difference as 30.0 due to the uncertainty. Overall, the calculations and reasoning presented are validated, with some discussion on the notation of the final value.
Rohan1997
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Homework Statement


My homework question says: the uncertainty in length 1 is +/- 0.1 and in length 2 is +/- 0.1 : calculate the percentage uncertainty in V where V

L1-L2 is 30

Homework Equations



V= (1/(L1-L2))^0.5 where L is the length[/B]

The Attempt at a Solution



So what I did was add the two uncertainties to get +/- 0.2
I then worked out percentage uncertainty by doing 0.2/30 *100%

and then I multiplied my answer by 0.5 since it is being square rooted.

Is this correct or have I made a mistake somewhere in my method?
 
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If you have learned to add uncertainties linearly, then: yes (correct) and no (no mistake) :smile:
 
BvU said:
If you have learned to add uncertainties linearly, then: yes (correct) and no (no mistake) :smile:
thanks :)
 
Your welcome, but mind you: it's an opinion: there's no guarantee

And: If the uncertainty in L1 - L2 is 0.2, why isn't this difference written as 30.0 ?
 
BvU said:
Your welcome, but mind you: it's an opinion: there's no guarantee

And: If the uncertainty in L1 - L2 is 0.2, why isn't this difference written as 30.0 ?
don't know what your talking about sorry
 
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