20. Suppse that in the prism spectrometer lab,you suspected that the single gree

Question

20. Suppse that in the prism spectrometer lab,you suspected that the single green mercury line migh be a closely spaced doublet, but your apparatus was non sensitive enceugh to separate the two lines. It you replaced the prism to increase the resolving power of the experiment, heow wenld the new ri differ from the old (a) It would have a larger apex angle (b) It would have a smaller indlex of refraction (c) It would have a smaller apex angle (d) It would have a larger index of refraction (e) None of the above 31. Now suppose that you want to resolve the suspected green doublet using the apparatus in the diffraction grating lab. If you replaced the grating to increase the resolving power of the experiment, how would the new grating differ the old one? (a) It would have a higher grating number (b) It would have a lower grating number (c) It would be wider (d) It would be taller (e) None of the above

Explanation / Answer

30] To increase the resolving power of a prism, one has to increase either the change in refractive index with respect to the wavelength (making the material more dispersive) or by changing the base length of the prism. It is independent on the apex angle and on how large or small refractive indices should be.

Answer - [e].

31] Resolving power of grating is directly proportional to the total number of lines illuminated and so having a higher grating number [more lines per unit length] will increase the resolving power.

Answer - [a].

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