Question

(5) Consider the test of relativistic time dilation with muons discussed in the lectures. This test depended on comparing muon count rates at sea-level with those on top of Mount Washington (1917m above sea-level). We do not have any large mountain nearby Kitchener-Waterloo to do this test. However, it is possible to go from 75 m above sea- level (Lake Ontario), to about 250 m above sea-level by travelling about 15 km up the Dundas Valley in Hamilton. Suppose that like in the case of the Mount Washingtoin experiment, we have a muon detector sensitive to muons at 0.9952c. Would we be able to test relativistic time-dilation by comparing muon count rates between these two elevations? Make sure to include estimated quantities to support your argument for or against the feasibility of this experiment.

Answer 1

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