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  3. 43 traveling waves the common way we have described a...

Question: 43 traveling waves the common way we have described a...

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4-3. Traveling waves The common way we have described a traveling sinusoidal wave is f(x.)-A cos( - kx), where k-ω/u 2π/λ and u is the so-called phase velocity. Here are some other expressions that might be equivalent (a) f(x1)-A cos [o(t -x/v)] (b) f(x,I)-Acos (ot-ra) (e) f(x,1)-A cos (k(x-) (f) f(x,1) = Acos (kx-vt) (g) f(x1)-Acos (k(x - )) (a) Which, if any, of tese expressions is dimensionally incorrect and thus disqualified from being equivalent to the origial expression? There may be more than one (or none b) Which, if any, of these other expressions is equivalent to the original? There may be more than one (or none) (c) Make an accurate sketch of the wave f(x.to) vs x, at a particular time to 0. In particular, make sure you have the right amplitude, the right phase, the right value at x-0, and indicate the correct wavelength. Then sketch what the wave looks like a very short time (less tha a quarter cycle) later

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