Calculating Error In Wavelength

[azntoon]

Homework Statement

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

Homework Equations

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

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

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?

 

[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.

 

[azntoon]

Thank you very Much