A diffraction grating has 5.3×10^5 slits/m. Find the angular spread in the second-order spectrum between red light of wavelength 6.9×10^−7 m and blue light of wavelength 4.7×10^−7 m. Express your answer to two significant figures and include the appropriate units.
Added by Taylor P.
Step 1
We know the formula for the diffraction grating is: $$d \sin{\theta} = m \lambda$$ where $d$ is the distance between slits, $\theta$ is the angle of diffraction, $m$ is the order of the spectrum, and $\lambda$ is the wavelength of light. Show more…
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(II) A diffraction grating has $6.0 \times 10^{5}$ lines $/ \mathrm{m} .$ Find the angular spread in the second-order spectrum between red light of wavelength $7.0 \times 10^{-7} \mathrm{m}$ and blue light of wavelength $4.5 \times 10^{-7} \mathrm{m} .$
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