0
$\begingroup$

I have measured a value for a frequency of $1.07 \times 10^{10} \pm 5 \times 10^7) \text{ Hz}$. Obviously it is very simple to find the wavelength from this frequency value, which I have (using $c=2.9979 \times 10^8$). However I am lost as to finding the error for the wavelength. The values I keep calculating for the error keep coming out as 2 orders of magnitude or more from the wavelength, which is very counter-intuitive. Please help!

$\endgroup$

1 Answer 1

1
$\begingroup$

if error in wavelength is $\delta \lambda$ and error in frequency is $\delta f$ then

$${\delta f \over f} = {\delta \lambda \over \lambda}$$

so

$${\delta \lambda } = \lambda {\delta f \over f}$$

The formula above should give you something more reasonable for the error in the wavelength.

More generally if

$$ X=kA^n$$

where k is a perfectly known constant

$$ \delta X= X ~|n|{\delta A \over A}$$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.