- #1

Cheesycheese213

- 55

- 8

- Homework Statement
- Calculate the uncertainty of a value (n) calculated by the equation n=1.0003tanθ

- Relevant Equations
- (shown below)

For a lab, I needed to calculate the uncertainty of a refractive index that was found using Snell's law. I found an equation online for propagation of error for any general function, which was

I thought that since my equation was

I could just get rid of the variable y, and have

After inputting my values θ = 53.61 and Δθ = 0.1, I got

Δn = 0.284193...

Which I was sort of confused by? My value for n itself is only around 1.357, and I wasn't sure why the uncertainty was so large in comparison. I was wondering if I did something wrong?

For more context, I am calculating n for many different angles, and when graphing the values either the error bars look really big, or the slope is almost insignificant from the scale.

Thanks!

I thought that since my equation was

I could just get rid of the variable y, and have

After inputting my values θ = 53.61 and Δθ = 0.1, I got

Δn = 0.284193...

Which I was sort of confused by? My value for n itself is only around 1.357, and I wasn't sure why the uncertainty was so large in comparison. I was wondering if I did something wrong?

For more context, I am calculating n for many different angles, and when graphing the values either the error bars look really big, or the slope is almost insignificant from the scale.

Thanks!