Question

If the ruling spacing is known and the angular position of a spectral line in a known order is measured, the wavelength of the light forming that spectral line can be calculated: dsin Obright 2=- m If the incident beam is composed of different wavelengths, these wavelengths will be separated into distinct lines.

Starting from equation (6), derive the equation for the experimental uncertainty in wavelength due to the uncertainties in d and θ. Refer to page xx of the introduction of the lab manual for information on handling the sine function. Do not use calculus.

Answer 1

f = d sino m 8(Sino 17 sino de d sine – → 54 - [ sd + og ] Sd = [ + (805 JA - putting value of a from. © into ® 84 = [ s+ (60 years and dance 645 [ dubio + (607even more] |= (sa) (hind ) + (609 comment novel voso. y This is required equation for oncertainity in wavelength