1. Consider the linear transformation with=(ct)' A(ctz = C(z-Bz)Dct)xx and y = y,=where A, B, C, and D are unknown constants. Find values for these constants byrequiring that (ct)² - (2′)² = (ct)² - 2² and that the transformation reduce to aGalilean transformationin the limit that v/c<<1.t' = tz' = 2 - vtx'x and y = y,2. Consider the wave equation (V² - 1822) = 0. Show that(a) This wave equation is not invariant under the Galilean transformationt' = tz = z- vtx'x and y' = y.(b) This wave equation is invariant under the Lorentz transformation(ct)' = (ct - Bz)z = (z - Bct)xx and y = y,=with ẞ=v/c and y = (1 − ẞ²)-1/2.-

Answered: 1. Consider the linear transformation…

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