Question

3.1 At 18 °C the refractive index of fused quartz varies with wavelength as follows: ?/nm n ?/nm n 185.47 1.5744 274.87 1.4962 193.58 1.5600 303.41 1.4859 202.55 1.5473 340.37 1.4787 214.44 1.5339 396.85 1.4706 226.50 1.5231 404.66 1.4697 250.33 1.5075 434.05 1.4670 Plot ? against $n$ and hence obtain the resolving power of a fused quartz prism, with a base length of 3.40 cm, at 200 nm, 250 nm, 300 nm and 350 nm. What is the resolution, in nanometres, at these wavelengths? How would the resolving power and resolution be affected, quantitatively, by using two such prisms in tandem?

          3.1 At 18 °C the refractive index of fused quartz varies with wavelength as follows:
?/nm
n
?/nm
n
185.47 1.5744
274.87 1.4962
193.58 1.5600
303.41 1.4859
202.55 1.5473
340.37 1.4787
214.44 1.5339
396.85 1.4706
226.50 1.5231
404.66 1.4697
250.33 1.5075
434.05 1.4670
Plot ? against $n$ and hence obtain the resolving power of a fused quartz prism, with a base
length of 3.40 cm, at 200 nm, 250 nm, 300 nm and 350 nm. What is the resolution, in
nanometres, at these wavelengths? How would the resolving power and resolution be
affected, quantitatively, by using two such prisms in tandem?

$3.1 At 18 °C the refractive index of fused quartz varies with wavelength as follows: ?/nm n ?/nm n 185.47 1.5744 274.87 1.4962 193.58 1.5600 303.41 1.4859 202.55 1.5473 340.37 1.4787 214.44 1.5339 396.85 1.4706 226.50 1.5231 404.66 1.4697 250.33 1.5075 434.05 1.4670 Plot ? against n and hence obtain the resolving power of a fused quartz prism, with a base length of 3.40 cm, at 200 nm, 250 nm, 300 nm and 350 nm. What is the resolution, in nanometres, at these wavelengths? How would the resolving power and resolution be affected, quantitatively, by using two such prisms in tandem?$

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