Why are the higher-order spectra more accurate than the first-order spectrum in determining wavelengths of light?

Expert Solution

Answer:-

Higher order spectra more accurate than first order spectra.

Spectrum (spectra) - is a condition that is not limited to a specific set of values but can very without steps across a continuum. The word was 1^st used scientifically in optics to describe the rainbow of colours in visible light after passing through a prism. As scientific understanding of light, advanced it came to apply to the entire electromagnetic spectrum.

First order spectrum:- The first bright image to either side occurs when the difference in the path length of the light from neighbouring slits of grating is one wavelength(1^st order diffraction maximum) the top and bottom coloured images are the 1^st order spectra of the white fluorescent light in the middle.

I can think of is that angle measurements gets smaller % errors as the angle gets larger.

1^st order – 10 +/- 1= 10% error

2^nd order – 20 +/- 1= 5% error

The absolute value of the uncertainty is constant (+/- in the example) so the % error gets less as the angle

But the line itself becomes less Sharpe (spread over a wide angle)

So you drop a bit of the accuracy gain.

genius_generous answered 1 year ago

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