# Calculating Error In Wavelength

1. Oct 22, 2011

### azntoon

1. The problem statement, all variables and given/known data

I am unsure whether I am calculating the error correctly for the wavelength
given that x=14.3,15.3,16.2,17.1,23.3 all in degrees

2. Relevant equations

$$\lambda=d*Sin(x)$$

where d is my slit size in meters $$\frac {1}{600000}$$
x=measured angle
$$\delta x= 0.1 degrees$$

3. The attempt at a solution

$$\delta\lambda= \frac {|Cos(x)|\delta x}{600000}$$

Now with my given x's they would produce a different error each time is that right or how do I get an over all error?

2. Oct 22, 2011

### Delphi51

Yes, that is the correct expression for the error and it will be different for each angle. Error is an estimate, so it is quite common to just work it out for a middle value and apply that same size error bar to all the points.

3. Oct 23, 2011

### azntoon

Thank you very Much