This question is about the measurement of the wavelength of laser light.
The light is shone onto a diffraction grating at normal incidence.
The light transmitted by the diffraction grating produces five spots on a screen. These spots are labelled P to T as shown in the diagram below.
A student uses a meter ruler with 1 mm divisions to take readings. She uses these readings to obtain the measurements x, y and z the distances between centres of the spots.
The table shows her measurements and her estimated uncertainties.
Measurement |
Distance / mm |
Uncertainty / mm |
x |
289 |
2 |
y |
255 |
2 |
z |
544 |
2 |
The distance between the centres of spots P and R and the distance between the centres of R and T are equal.
That is:
x + y = z
What is the percentage uncertainty in the sum of x and y?