Pulse broadening: Assume that the slab waveguide core index, ni, and the outer (cladding) index, n2, DO NOT depend on light frequency/wavelength. Qualitatively explain (i. e., words and/or illustrative equation are fine) how/why a short pulse of light traveling in a "single" spatial waveguide mode can broaden as it travels from one end of the waveguide to the other end. (Note, this case is due to intra-modal dispersion.)

In “the bet” by anton p. chekhov, what motivates the lawyer to participate in the bet?

If music be the food of love, play on; give me excess of it, that, surfeiting, the appetite may sicken, and so die. that strain again! it had a dying fall: o, it came o'er my ear like the sweet sound, that breathes upon a bank of violets, stealing and giving odour! now read the excerpt from "the love song of j. alfred prufrock." for i have known them all already, known them all: have known the evenings, mornings, afternoons, i have measured out my life with coffee spoons; i know the voices dying with a dying fall beneath the music from a farther room. what does the phrase "dying fall" most likely mean in both excerpts

Vonnegut says that he can't visit the school because the story is called make your soul grow