Two identical guitar strings are prepared such that they have the same length (2.17 m) and are under the same amount of tension. the first string is plucked at one location, primarily exciting the 5th harmonic. the other string is plucked in a different location, primarily exciting the 4th harmonic. the resulting sounds give rise to a beat frequency of 351 hz. what is the wave propagation speed on the guitar strings?

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.